{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Steps to Tackle a Time Series Problem (with Codes in Python)\n",
    "Note: These are just the codes from article"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading and Handling TS in Pandas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "%matplotlib inline\n",
    "from matplotlib.pylab import rcParams\n",
    "rcParams['figure.figsize'] = 15, 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     Month  #Passengers\n",
      "0  1949-01          112\n",
      "1  1949-02          118\n",
      "2  1949-03          132\n",
      "3  1949-04          129\n",
      "4  1949-05          121\n",
      "\n",
      " Data Types:\n",
      "Month          object\n",
      "#Passengers     int64\n",
      "dtype: object\n"
     ]
    }
   ],
   "source": [
    "#Note: aim is not to teach stock price forecasting. It's a very complex domain and I have almost no clue about it. Here I will demonstrate the various techniques which can be used for time-series forecasting\n",
    "data = pd.read_csv('AirPassengers.csv')\n",
    "print data.head()\n",
    "print '\\n Data Types:'\n",
    "print data.dtypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reading as datetime format:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            #Passengers\n",
      "Month                  \n",
      "1949-01-01          112\n",
      "1949-02-01          118\n",
      "1949-03-01          132\n",
      "1949-04-01          129\n",
      "1949-05-01          121\n"
     ]
    }
   ],
   "source": [
    "dateparse = lambda dates: pd.datetime.strptime(dates, '%Y-%m')\n",
    "# dateparse('1962-01')\n",
    "data = pd.read_csv('AirPassengers.csv', parse_dates='Month', index_col='Month',date_parser=dateparse)\n",
    "print data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['1949-01-01', '1949-02-01', '1949-03-01', '1949-04-01',\n",
       "               '1949-05-01', '1949-06-01', '1949-07-01', '1949-08-01',\n",
       "               '1949-09-01', '1949-10-01',\n",
       "               ...\n",
       "               '1960-03-01', '1960-04-01', '1960-05-01', '1960-06-01',\n",
       "               '1960-07-01', '1960-08-01', '1960-09-01', '1960-10-01',\n",
       "               '1960-11-01', '1960-12-01'],\n",
       "              dtype='datetime64[ns]', name=u'Month', length=144, freq=None)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#check datatype of index\n",
    "data.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112\n",
       "1949-02-01    118\n",
       "1949-03-01    132\n",
       "1949-04-01    129\n",
       "1949-05-01    121\n",
       "1949-06-01    135\n",
       "1949-07-01    148\n",
       "1949-08-01    148\n",
       "1949-09-01    136\n",
       "1949-10-01    119\n",
       "Name: #Passengers, dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#convert to time series:\n",
    "ts = data['#Passengers']\n",
    "ts.head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Indexing TS arrays:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "112"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#1. Specific the index as a string constant:\n",
    "ts['1949-01-01']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "112"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#2. Import the datetime library and use 'datetime' function:\n",
    "from datetime import datetime\n",
    "ts[datetime(1949,1,1)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#Get range:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112\n",
       "1949-02-01    118\n",
       "1949-03-01    132\n",
       "1949-04-01    129\n",
       "1949-05-01    121\n",
       "Name: #Passengers, dtype: int64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#1. Specify the entire range:\n",
    "ts['1949-01-01':'1949-05-01']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112\n",
       "1949-02-01    118\n",
       "1949-03-01    132\n",
       "1949-04-01    129\n",
       "1949-05-01    121\n",
       "Name: #Passengers, dtype: int64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#2. Use ':' if one of the indices is at ends:\n",
    "ts[:'1949-05-01']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: ends included here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112\n",
       "1949-02-01    118\n",
       "1949-03-01    132\n",
       "1949-04-01    129\n",
       "1949-05-01    121\n",
       "1949-06-01    135\n",
       "1949-07-01    148\n",
       "1949-08-01    148\n",
       "1949-09-01    136\n",
       "1949-10-01    119\n",
       "1949-11-01    104\n",
       "1949-12-01    118\n",
       "Name: #Passengers, dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#All rows of 1962:\n",
    "ts['1949']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Checking for stationarity\n",
    "\n",
    "## Plot the time-series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x106405e10>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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SUUdZCN6+XapePfj7VxrUvPfzJHUu4/gqSd3LueYBSQ+kPDoAAAAgCQ8/bI0e3nxz5+NV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\n1wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bfc6590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Function for testing stationarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "def test_stationarity(timeseries):\n",
    "    \n",
    "    #Determing rolling statistics\n",
    "    rolmean = pd.rolling_mean(timeseries, window=12)\n",
    "    rolstd = pd.rolling_std(timeseries, window=12)\n",
    "\n",
    "    #Plot rolling statistics:\n",
    "    orig = plt.plot(timeseries, color='blue',label='Original')\n",
    "    mean = plt.plot(rolmean, color='red', label='Rolling Mean')\n",
    "    std = plt.plot(rolstd, color='black', label = 'Rolling Std')\n",
    "    plt.legend(loc='best')\n",
    "    plt.title('Rolling Mean & Standard Deviation')\n",
    "    plt.show(block=False)\n",
    "    \n",
    "    #Perform Dickey-Fuller test:\n",
    "    print 'Results of Dickey-Fuller Test:'\n",
    "    dftest = adfuller(timeseries, autolag='AIC')\n",
    "    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n",
    "    for key,value in dftest[4].items():\n",
    "        dfoutput['Critical Value (%s)'%key] = value\n",
    "    print dfoutput"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QC9OhGai6devSt2/f/ZtBv/jii6SkpNCiRQvOO+88brzxRvr16xfSWKFe96WX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\n5Y+bNsHPP9sH+Who3doCjGXLojM+u3d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7xiWqRo3si4WFCw/fjPvFF6FfPwVpElkqfRQR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7n0S1rz8vLg4uICNze3oqDIghBERERUVQxqVCWqqiI4OBiHDx8uWtYXHx+Pvn37on///ujduzec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\nkiRJkgbmf0xBIjdGZfJLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c09ac50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                   0.815369\n",
      "p-value                          0.991880\n",
      "#Lags Used                      13.000000\n",
      "Number of Observations Used    130.000000\n",
      "Critical Value (5%)             -2.884042\n",
      "Critical Value (1%)             -3.481682\n",
      "Critical Value (10%)            -2.578770\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "test_stationarity(ts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Making TS Stationary\n",
    "\n",
    "\n",
    "## Estimating & Eliminating Trend\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10e105210>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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DN97ofIxOJ2erVwOVKgFlymQ/VrAgMGGCVJAffFAqTJMnyx4mt7VtK39vkfr7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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e11bb90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_log = np.log(ts)\n",
    "plt.plot(ts_log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smoothing:\n",
    "\n",
    "### Moving average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10e847b90>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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nXvlnzwKHDqHBoUP4YschJNU+hLynDjMldPYsx8iXD7jsMv6ZOzd/QTlyMMLN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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e461050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "moving_avg = pd.rolling_mean(ts_log,12)\n",
    "plt.plot(ts_log)\n",
    "plt.plot(moving_avg, color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01         NaN\n",
       "1949-02-01         NaN\n",
       "1949-03-01         NaN\n",
       "1949-04-01         NaN\n",
       "1949-05-01         NaN\n",
       "1949-06-01         NaN\n",
       "1949-07-01         NaN\n",
       "1949-08-01         NaN\n",
       "1949-09-01         NaN\n",
       "1949-10-01         NaN\n",
       "1949-11-01         NaN\n",
       "1949-12-01   -0.065494\n",
       "Name: #Passengers, dtype: float64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_log_moving_avg_diff = ts_log - moving_avg\n",
    "ts_log_moving_avg_diff.head(12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-12-01   -0.065494\n",
       "1950-01-01   -0.093449\n",
       "1950-02-01   -0.007566\n",
       "1950-03-01    0.099416\n",
       "1950-04-01    0.052142\n",
       "Name: #Passengers, dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_log_moving_avg_diff.dropna(inplace=True)\n",
    "ts_log_moving_avg_diff.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KShg0aJDXz0sIIYQQQggRPBpN5k1ray6+GDp0KM2bN2fp0qWVrs/Pz2f58uVceumlQPWy\nR1cdO3YkNTW1/PfCwkIOHz7s03imTp1Knz59SE5O5ujRozz11FPSpEQIIYQQQogGrtEEb4EUGRnJ\nY489xvTp01mxYgUlJSXs27ePP/7xj3Tr1q1SU5KaXHfddXz66af88ssvFBcXk5iYWOv2tQVjeXl5\nREZGEhYWxo4dO3j99de9fUpCCCGEEEKIICPBm0Uefvhhnn76af785z8TFRXF0KFDiYuL45tvvqFp\n06Z13v/MM89k7ty5/PGPf6RTp05ERkYSGxtL8+bN3W5fNYvn+vvzzz/Pu+++S2RkJHfddRfjx4+v\n9b5CCCGEEEKI4CeLdAep48ePEx0dze7du4mLiwv0cE45u/19hRBCCCGEqIks0t0AfPbZZxQWFnL8\n+HEeeugh+vXrZ4vATQghhBBCCFE3Cd6CyLJly+jUqRNdunQhOTmZJUuWBHpIQgghhBBCiCAhZZMi\nKMjfVwghhBBCCEPKJoUQQgghhBCiAZPgTQghhBBCCCEaAAnehBBCCCGEEKIBkOBNCCGEEEIIIRoA\nCd6EEEIIIYQQogGQ4C3AFi1axLBhw8p/DwkJYc+ePQBMnTqVp556KlBDE0IIIYQQQgQRCd4s0L17\nd8LCwoiMjKRTp05MmTKFgoICj++vlHL78+uvv87MmTMtHStASkoKISEhDBo0qNL1hw8fplmzZvTo\n0cPyxxRCCCGEEEL4R4I3Cyil+Pzzz8nNzWXjxo1s2LCB2bNn+7Sv+lzrrKCggG3btpX//t5779Gz\nZ896e3whhGgofvkFFiwI9CiEEELYnQRvFnEGXbGxsYwcOZKNGzeW35abm8ukSZOIjY0lPj7e41LI\nKVOm8NhjjwGwatUqunbtyosvvkj79u3p3LkzCxcuLN82JyeHMWPGEBUVxZAhQ3j00UcrlWO6M3Hi\nxEr7WLx4MZMmTaq0TXp6Otdddx2xsbH07NmTuXPnlt/222+/cf7559O6dWs6d+7M9OnTKSkpKb89\nJCSEN954g9NPP502bdowbdo0j563EEIEm1Wr4I03Aj0KIYQQdifBm8VSU1NZvnw5vXr1Kr9u2rRp\n5OXlsW/fPlauXMnixYt56623vN53RkYGeXl5pKWlMX/+fO655x6OHTsGwN13302rVq3IzMxk4cKF\nLFq0qFIJZlVKKW6++WaWLFmC1ppt27Zx/PhxEhISyrfRWjNmzBgGDBhAeno63377LS+//DJff/01\nAKGhobz00kvk5OTw888/89133/Haa69VepzPP/+cdevWsWnTJj744AO++uorr5+3EEIEWloabNgA\nhYWBHokQQlgjOxsuvxzefz/QIxHekODNImPHjiUyMpJu3brRvn17EhMTASgrK+P999/nmWeeISws\njLi4OB566CHefvttrx+jWbNmPProo4SGhjJq1CgiIiLYuXMnZWVlLF26lFmzZtG8eXP69OnD5MmT\n69xfly5d6N27N19//TVvv/02EydOrHT7mjVryM7OZubMmYSGhtK9e3duv/12lixZAsDAgQNJSEhA\nKUW3bt248847WbVqVaV9PPLII7Rq1YquXbty8cUXV8pICiFEQ5GWBiUlJoATQoiGbvt2GDIEkpMh\nKSnQoxHeaBLoAVimliyTV3ycc7Zs2TIuvvhiVq9ezY033kh2djaRkZFkZ2dTUlJCt27dyreNi4vj\n4MGDXj9G27ZtCQmpiLfDwsLIz88nKyuL0tJSunTpUn5b165dPdqns3Ty559/ZvXq1ezcubP8tv37\n93Pw4EHatGkDmExcWVkZF110EQBJSUk8+OCDrF27lsLCQkpKSqo1QWnfvn218QohREOTlgZ9+8Kv\nv8L55wd6NEII4buvvoKbb4bnn4fMTPP5JhqOxpN509qai88Pb+47bNgwJk+ezEMPPQRATEwMTZs2\nJSUlpXzblJQUOnfu7N/zddGuXTuaNGlCampq+XUHDhzw6L7XXnstn3/+OT179qwU/IEJAHv06EFO\nTg45OTkcOXKEY8eO8emnnwJmKYM+ffqQnJzM0aNHeeqpp+q14YoQQtSXtDQYN840LhFCiIbq9ddh\n0iT46CPzb+vWcORIoEclvNF4grcgcv/99/P111+zefNmQkJCuOGGG5g5cyb5+fmkpKQwZ86caiWK\n/ggJCWHcuHEkJiZSWFjIjh07WLx4ca33cQZZYWFhfP/998ybN6/aNgkJCbRq1YrnnnuOEydOUFpa\nytatW1m7di0AeXl5REZGEhYWxo4dO3j99dcte05CCBEstDbB2zXXSPAmhGiYSkrgvvvglVfgxx/B\n2dNOgreGR4I3C1RtDBITE8PkyZOZNWsWAK+88gphYWH06NGDiy66iJtvvpkpU6Z4tC9PH3fu3Lkc\nPXqUjh07MnnyZG688UaaN2/u0X0HDhxIfHx8tW1CQkL47LPP2LhxI/Hx8cTGxnLHHXeQm5sLwPPP\nP8+7775LZGQkd911F+PHj6/1uXjz3IQQIljk5EBYGPTrB/n5UmIkhGhYysrMyadt2+Dnn8F1Vag2\nbcxnnGg4VLCVuSmltLsxKaWkJM8Lf/3rXzl06JBPXS0DQf6+QohgtXkzjB8PW7fC6NFwxx3mQEgI\nIRqCQ4fgzDMhIwOaNq1826ZNZv7b5s2BGVuwuukm+POfYcCAwI3BcWxcLfMhmbdGYufOnWx2/M9b\ns2YNCxYsYNy4cQEelRBCNHxpadCpk/n5vPNM0xIhhGgoMjKgc+fqgRtI2WRNfvjBlJgGIwneGom8\nvDzGjRtHREQEEyZM4OGHH2bMmDGBHpYQQjR46emVgzeZ9yaEaEgyMqBDB/e3SdlkdVqbLpwffxyc\nr40lSwUopa4AXsIEgwu01s9Wuf0q4B9AGVAMPKC1/tGKxxbG4MGDSZKFOoQQwnKumbeEBFi3zkz+\nb9J4FtsRQjRitQVv4eFQXAxFRVBLqwRbOXLEvC6jR8PChfDgg4EeUWV+Z96UUiHAq8BI4CxgglKq\nd5XNvtFa99daDwBuA+b7+7hCCCFEfXAN3qKjoUsX2LIlsGMSQghP1Ra8KSWlk1U5X6+pU+Ff/zIN\nX4KJFWWTCUCS1jpFa10MLAGudt1Aa13g8msEJgMnhBBCBD3X4A2kdFII0bDUFryBKZ2U4K2C8/U6\n/3xo2RK+/TbQI6rMiuCtM+C6InSq47pKlFJjlVLbgU+BWy14XCGEEOKUS0uDjh0rfpemJUKIhiQj\nA9q3r/n21q2Dc25XoDhfL6VM9i3YljGut4YlWuv/aq37AGOBJ+vrcYUQQgh/SOZNCNGQHTpUe+ZN\nyiYrc81U3nQTrFwJqakBHVIlVky3Pgh0c/m9i+M6t7TW/1NK9VBKtdFau43zExMTy38ePnw4w4cP\nt2CYQgghhHfKyswXuWvm7ayzzBf5kSPmoEcIETzuvReuugouuyzQIwkeUjbpHdfXq1UrmDAB5s2D\nJ544tY+7cuVKVq5cWed2fi/SrZQKBXYClwLpwBpggtZ6u8s2PbXWyY6fBwLLtNZda9ifrRbpXrRo\nEfPnz2f16tUAhISEsHv3bnr06MHUqVPp0qULM2fODPAoq5syZQpdu3Zl1qxZluyvsf59hRANW2am\nWdw2O7vy9cOHwyOPwMiRARmWEMKNL7+EUaNgzhy4//5AjyZ4tGkDSUnQtq3726dPh9NOg/vuq99x\nBatJk+DSS2HyZPP7li3ms37fPvdr5Z0qp2yRbq11KTAN+ArYCizRWm9XSt2llLrTsdm1SqktSqn1\nwFzgBn8fN5h0796dsLAwIiMj6dSpE1OmTKGgoKDuOzoopdz+/Prrr5+ywG3BggX06dOHqKgoOnbs\nyJVXXsnx48cBE5g99thjp+RxhRCiIalaMukkpZPCSs5FlJ99Fk6cCPRoGqaCArj7bhg6FI4eDfRo\ngkdREeTn114lIGWTlVUtMz37bOjZE5YtC9yYXFky501r/aXW+gytdS+t9TOO697QWr/p+Pk5rfXZ\nWuuBWusLtNY/W/G4wUIpxeeff05ubi4bN25kw4YNzJ4926d91Uf2adWqVcycOZP333+fY8eOsX37\ndv74xz+e8scVQoiGRoI335SWwo+ymqvHtmwxWZFffoE+feD9981CwcJz//gHDBkC118Px44FejTB\n49Ah03wjpJYjfimbrMxdmenddwdP45J6a1jS2DmDrtjYWEaOHMnGjRvLb8vNzWXSpEnExsYSHx/P\nU0895dE+XTNgq1atomvXrrz44ou0b9+ezp07s3DhwvJtc3JyGDNmDFFRUQwZMoRHH32UYcOGud3v\n2rVrOf/88+nXrx8A0dHRTJw4kfDwcObNm8e7777Lc889R2RkJFdfbVZ92LBhA4MGDSIqKorx48dz\nQk4NCiFsoKbgbcgQWLNGDrBrsmEDXHKJKTsVddu502SMPv4Y3nrLZODOPx9+blSnuk+dzZth/nxT\nLhkVJZk3V3XNdwPpNlmVu9ds3DjYuhV27AjMmFxJ8Gax1NRUli9fTq9evcqvmzZtGnl5eezbt4+V\nK1eyePFi3nrrLa/3nZGRQV5eHmlpacyfP5977rmHY47TS3fffTetWrUiMzOThQsXsmjRokolmK6G\nDBnCihUrSExM5KeffuLkyZPlt91xxx3cdNNN/OUvfyE3N5dly5ZRXFzMNddcw+TJk8nJyeH666/n\no48+8nr8QgjR0NQUvHXsaCayJyXV/5gagl274ORJWLAg0CNpGHbtgtNPNz8PHw5r18Kf/mSySOPH\nS1akNmVlcNdd8OST5oA7Oloyb648Dd7kPWaUlJjXIiam8vXNmsFtt5lFuwNNgjeLjB07lsjISLp1\n60b79u3LO2aWlZXx/vvv88wzzxAWFkZcXBwPPfQQb7/9tteP0axZMx599FFCQ0MZNWoUERER7Ny5\nk7KyMpYuXcqsWbNo3rw5ffr0YbJzlqUbF154IUuXLmXDhg1ceeWVxMTE8NBDD9VYsvnLL79QUlLC\nvffeS2hoKNdeey3nnnuu1+MXQgSPzZthxYpAjyL41RS8gcm+Semke7t2wejR5kCntDTQowl+u3bB\nGWdU/B4SYpol7NwJhw+bjJxwb9488+8dd5h/JfNWWV1rvIEEb66yskwZaWho9dvuvBPefhscLSIC\nptEEb0opSy6+WrZsGbm5uaxatYodO3aQ7WhNlp2dTUlJCd26VaymEBcXx8GDNa6mUKO2bdsS4lK0\nHBYWRn5+PllZWZSWltKlS5fy27p2ddvMs9zIkSNZtmwZOTk5LFu2jIULFzJ//ny326alpdG5c+V1\n1+Pi4rwevxAieCxbBg8+KGV/dUlPrzl4k3lvNdu1y2SMOnWCzz4L9GiC386dFZk3V+HhMHCglJ/W\nJCMD/v53eOONijldknmrrK413kDmvLmqLVMZFwcXXABLltTvmKpqNMGb1tqSiz+PDzBs2DAmT57M\nQw89BEBMTAxNmzYlJSWlfNuUlJRqwZA/2rVrR5MmTUh1WUHwwIEDHt//4osv5pJLLmHLli0A1YLY\njh07Vgs29+/f78eIhRCBlpoK27bBunWBHklwqy3zJsFbzZxlgHffDa+9FujRBLeiIvM+i493f3v7\n9hK81eSBB+D226Fv34rrJPNWmcx5805dr9f48fDFF/U3HncaTfAWTO6//36+/vprNm/eTEhICDfc\ncAMzZ84kPz+flJQU5syZw8SJEy17vJCQEMaNG0diYiKFhYXs2LGDxYsX17j9J598wvvvv89Rx6fb\nmjVrWLVqFUOHDgWgffv27Nmzp3z7oUOH0qRJE+bOnUtJSQlLly5lzZo1lo1fCFH/Dh6EAQNg0aJA\njyS41Ra8DRhgMiZerAxjC1qbuYC9epk5Wxs2mGBOuLd7tzmjX9P6UbGxJnsiKvvyS9M06NFHK18v\nmbfKvJnzJpUYdb9eHTtWX/ezvknwZoGqmaqYmBgmT55cvoD1K6+8QlhYGD169OCiiy7i5ptvZsqU\nKR7ty9PHnTt3LkePHqVjx45MnjyZG2+8kebNm7u9X+vWrZk3bx6nn346UVFRTJo0iRkzZjB+/HgA\nbrvtNrZu3UqbNm0YN24cTZs25aOPPuKtt96ibdu2fPjhh1x77bUej1MIEXwOHjSLTC9ZYhpLiOpK\nS838h5rOCZ1/AAAgAElEQVTmi7RoYdb/kexlZZmZJhBp08a8RrfeGhyT/IOVa7MSd2JjJfNWVXFx\nRVY3LKzybVFRJniTQMTwJHhr2dKUnRYW1s+YglldZaZt25p5qIGk6mNdMW8opbS7MTlWGQ/AiBqm\nv/71rxw6dMinrpaBIH9fIepX+/awcaMpAbn/frjmmkCPKPikp5vsWkZGzdvcey907QoPP1x/4wp2\nq1fDjBnw00/m9337YNAgOHCg+oG2MMsCZGXB88+7v33jRtO8ZNOm+h1XMEtKgpEjwaVIqJLwcBPw\nhofX77iCUc+epjnVaafVvl2nTiaT6dI+wZbuvx+6dzf/unPwIJx7rqnKONUcx8bVsjqSeWskdu7c\nyebNmwFTBrlgwQLGjRsX4FEJIYLRyZOmRCY21hwU1lJlbWtpaaZEpjYy7606Z8mkU/fuZs2yf/87\nYEMKajU1K3GSzFt1Bw6ASx+4amTem6G1Z5k3kI6TTnW9Xm3amMxbIPMNErw1Enl5eYwbN46IiAgm\nTJjAww8/zJgxYwI9LCFEEEpPN5m30FC47jr4/vvA1/AHo9rmuzlJ8FaduzLAe+6Bf/5TStncqbpM\nQFXt2pn/n2Vl9TemYHfgQO0ZIpn3ZuTng1IQEVH3ttJx0qgreGvZ0nx3BnK5AAneGonBgweTlJRE\nfn4+ycnJ/OUvfwn0kIQQQergQXA2vI2MhCuvlKyIO54Eb/HxZp6IZEYquAveRoyA3Fz49dfAjCmY\n1ZV5a9rU/D+VboAVUlNNuXJNJPNmeLJMgJN0nDQ8WRcv0PPeJHgTQgibSU2tCN4AJk2SrpPueBK8\nKWU6BXqxOkuj5y54CwmBqVNN9k1UyMkxSwXUdYAtpZOVHThQe/AmmTfDk0DEScomDU/KTNu2DWyg\nK8GbEELYjGvmDeDSS80X1tatgRtTMPIkeANTviXBm1FWBsnJ7psjTJkCn35qmnMIIynJBLp1NZqW\n4K2yusomJfNmeDrfDaRsEkwVRWGhCf5rI5k3IYRX8vLMPCUhfHXwYOUDn9BQuPlmaVxSlafBW9eu\nJpspzEF127buu/y1aQPjxsGCBfU/rmBVV8mkkwRvldVVNimZN8Ob4E3KJivKTOs6meJsWhIoErwJ\n0cAsWQIffRTYybKiYauaeQNTOvnOO2ZtM2F4k3mT4M2oa82yu+82a77J+8yoq1mJkwRvldVVNimZ\nN8Pb4M3umTdPXy/JvHkoLi4OpZRcGuklLi4u0G+xBmP+fPOvfJELX7kL3s480wQq33wTmDEFIymb\n9J6zDLAmgwdDTAysXFlvQwpqnmbe2rc3WQFhTlwWFpoD6JpI5s2Q4M07njZ4keDNQ/v27UNrHVSX\nVq00y5drOnTQvPJK4MfTkC/79u0L9FusQfj9d3PgPWCABG/Cd+6CNzBrvknjEqO42JQQxcbWva2U\nTVbYtavyGm/unHOOmRcn6s5UOknmrUJqqjlhUltpm2TeDJnz5h1vMm/SsKQBys01E7NHjoSffoLX\nX4d775VSEHFqLVhgJv136iRf5MI3WpuMkrvgbcIE+OILOWMN5gxsbKyZD1gXKZus4Ekw0rGjOUiy\nu7KyujOVThK8VairZBJM8CafYzLnzVuevl4y562Bcj3zEx9vArht2+Dqq01DCSGsduIEvPsu3Hqr\nfJEL3+XkQIsWEBZW/ba2beGSS+A//6n/cQUbT0smwXwXHDwoiyiDZ8Fbhw4SvIE5joiOhlat6t5W\nPvMreBK8RUdL5g28X+dNMm+eLa0gZZMNVNV1kqKjYflyc0Zx2DA5Cyus9/HHplwyPl6+yIXvqn52\nVSVrvhneBG8tW0JEBGRnn9oxBbuTJ837Kz6+9u06dID09PoZUzDztGQS5DPfVV3LBIBk3sCcTHJW\nEHhCyialYUmj58y8uWraFN58E6680ixGKoSV5s+H2283P8sXufBV1WUCqho9GtavN6XhduZN8AZS\nOgmwd695HZo1q307ybwZO3d61mkSpGGJq7qWCQDJvIEJxCIioHlzz7Z3Zt60PrXjCmYy562Rq+kA\nSCm45RbYsqXehyQaseRk06xk7FjzuwRvwlc1NStxatbM3H7wYP2NKRh5G7x17SodJz3NJMmcN8Ob\nzFtkJBQVmS6Ldidz3jzjzXw3MAmIFi3sPfVHMm+NnLvMm1N8vHkDFBTU75hE4/V//wcTJ1acQZPg\nTfiqruANTNCSllY/4wlWaWkmyPCUZN48b77Rvr35jrTzGX7wfI03MCeGY2MhK+vUjqkh8KRsUjJv\n3gdvYO/SSa09n/PmXIoiUE0KJXjzUW3BW2gonHaa+WAWwl8lJbBwIdx2W8V1ErwJX3kSvEnmzbey\nScm81b1MAEB4uDnLb/fMiKdrvDnJ577hSdlkRIRp8lVSUj9jCka+BG927jiZl2c+l8LD6962SRPT\naChQJwgkePNRbcEbQO/esGNH/Y2nIVi1Sg4IffHllxAXB2edVXGdfIkLX0nmzTO+lE3aPfPmTRmg\n3ee9FRWZ91hdzV1cyee+OcAuLjZBRm2UMqWmdj5B4GvwZtfMm7evVyDnvUnw5qO6Orb16QPbt9ff\neBqChx6Ciy6ClJRAj6RhcW1U4hQTY+qtpTW58JanmTcJ3qRhibe8Cd7sPu8tOdmclGva1PP7SNOS\nipLJ2hbodrL7vDcpm/SOL8FboOa9SfDmg8JCyM83B9A1kcxbdXv2wM03wx/+YL64RN3S0+GHH+CG\nGypf36yZKQuxe02/8F5dJ57ABC12zpIXFZlum7V9xldl94Ylx4+bs9B1lbM52T3z5m3JJEjmDTwr\nmXSy+7w3b9Z4c7J75s2T+W5OgVyoW4I3HzjPXIfU8upJ8FbZkSOm9jwxER55BIYPN19eonaLFsF1\n15lArSr5Ihfe8uTEE0jmLT3dHPTU9hlflXOeoF2bcOzeDT16eP6a2X2tN2+alTjJZ75nnSadJPMm\nc968IZm3Rq6u+W5gPpSTkgLXiSbY7N1rvtiVgrvuglmz4JJLYOvWQI8seGntvmTSSb7IhbecpYB1\nHWDbPfPmbckkQFiYmehu14W6vSmZBCmblMybb7wJ3uyeefM2kwSSeZPgrRHzJHgLD4d27WR+l9Oe\nPSZ4c5oyBZ57Di67DDZtCty4gtmqVeaA8Nxz3d8uX+TCW57Md4OKA2u7zqn0JXgDe5dOehu82b1s\n0tvXC+QzHzw7/nKSzJvMefOGNCxp5DyZMwJSOumqavAGcNNN8MorMHIkrFsXmHEFs3fegcmTa56Y\nLV/kwlueBm/Nm5sDH7uuKeVr8GbnpiVJSZ4tE+AkwZv3ZZPSsEQyb54qLjZBmDfzdkHKJr0J3mTO\nWwNz8KBnZ36k42QFd8EbwPXXw+zZ8OCD9T+mYFZaCp98AuPG1byNBG/CW54Gb2Dv5QLS033PvNk1\nePMl82bXOW9Hjpg1yLzNishnvsx581RWlgncQkO9u5+dyya9bfAiZZMNjKdpe8m8VagpeAOTeZPX\nqbKffjIHj7WtASRf5J4pLIR//MO+jSRceRO82Xmhbn8yb1I26Rk7z3lzvlaetLt31a6dOSi3azmz\n1hVLBXgiOtq+wZsvJZMgZZMSvDViErx5r7bgrWNH02baruUN7vz3v3DNNbVvI8GbZx57zFzk/eV5\nyTfYO/MmZZPeyckxZVqxsZ7fJybGHCQWF5+6cQUrX5qVgCwRk5tr/o2K8mz7qCj7vla+Bm92LZss\nKzMnRrz5DJM5bw2Mp8GblE0aJSXmbFlcnPvblTJfZElJ9TuuYKU1fPwxjB1b+3YSvNXtp5/M3MFO\nnex7lt+VpyXfIJk3aVjiOed8N28ySaGhJoCz42eYL81KnOz8ue8smfT0fWbnzJsva7yBfcsmDx+G\nyEho2tTz+0jmrQEpLjatoD1pvxoba+Yu2bV1tFNqqnm9mjeveZvTTzdfaAI2bzb/9utX+3Z2/hL3\nREEB3HILvPoq9OwpE/1B5rx5SjJv3vE1GLFr0xJfmpU42blpiTclkyCZN1+Ct+hoyMuzX2mur505\nJXhrINLTzYdnkyZ1b6uUlE5C7SWTThK8VXBm3eo6uyjBW+1mzoTBg+Haa82Hsl0PeJzKyswXlKdB\niV0X6i4oMPMkW7f2/r5duthzoW5fgze7znvztWwS7P25n5rqebMSsHfmzZc13sBkxCMi7Pe6+RK8\ntWoFJ09CUdGpGVNtJHjzkjdrjICUToIEb97yZL4bmC+m/Hzz4SEqW70a3n8f5s41v7dvb8+DRFdZ\nWaYspLYMuCu7LtSdnm6CCm+bSYBZlzEszH7VFt4uE+Bkx8xbWZnvrxfYO3jzptMkSObNl8wb2HPe\nmy+vl1KBy75J8OYlb4M3ybxJ8OaNvXvNAfP559e9bUiImTNitwPFuhw/bhaBf/11U5MO9i41cvKm\nZBLsWzbpa8mkkx1LJ/0pm7TbcgGpqebEW2Skb/e3e/DmzfGX3TNvvgZvduw46evrFaimJZYEb0qp\nK5RSO5RSu5RSM9zcfqNSapPj8j+lVF8rHjcQJHjznifBW69e5gDAbuVGVf33v3DVVZ6vzWLnL/Ka\nPPKICX6vvrriOimb9D54i401Z60DURISSP4Gb3Zb601rybx5w59mJWDvz3xvyyadmTc7Hlf4m3mz\nW/Dma4OXBpt5U0qFAK8CI4GzgAlKqd5VNtsDXKS17g88Cczz93EDRcomvedJ8Na6NbRsab8v8qr+\n+9+6u0y6svMXuTsrV8LSpfDyy5Wvl7JJ75YJAJPZtePrZkXmzU4dJzMyTKlodLT397XjnLd9+2pf\nv7Mudq4i8LZsslkz0z2wsPDUjSlYSdmkd/zJvDXI4A1IAJK01ila62JgCXC16wZa61+01s7k9S+A\nF4cQwcXbs9fx8aYsxI4fHk6eBG8gpZNZWbBpE1x2mef3keCtQn4+3HorvPFG9WYTdj7gcfJmmQAn\nOy4XIGWT3tm1y/f5W3bMvHm7llRVdv3M93aBbic7znsrLDQVE56uh1eVlE16riEHb50B1/OMqdQe\nnN0OLLfgcQPC28xbkyYmcLHrGmbHjsGJE9CuXd3b2j14+/RTGDECWrTw/D52/SJ351//gvPOg//3\n/6rfJmWT3p94AnvOe0tLMxkhX9mtbHL3bjjtNN/ua8c5b1lZnn0f1sSun/lHjpjjKW/nCtpx3puz\nBNCXpktgz7JJX7tzNug5b55SSl0MTAGqzYtrKLwN3sDepZN795rg1ZMPEbsv1O3JwtxV2fWL3J21\na2HUKPe3xcaaLzQ7zn1w8iV4s2PmLT1dyia9kZ7u/fvKyZl5s9P/y8xMybz5wtv5bk52zLz5UzIJ\nUjbpjUBl3jxYraxOB4FuLr93cVxXiVKqH/AmcIXWutaYPjExsfzn4cOHM3z4cAuG6b/SUt++2IO9\nacmxY/DMMzB7tvX79rRkEkzwtnix9WNoCPLzYdUqeOcd7+4XG2vvbKWrTZvgb39zf1uLFmZezpEj\npiTEjiTz5hl/D3zsVjZ56JDvZZOtWpkTe/n55mc78DfzFh1t1iIsKvJ82Y/GwNv5bk52zLz5mkVy\nat3aXifST56E3NyK7tTeaNPG2mOwlStXsnLlyjq3syJ4+w04TSkVB6QD44EJrhsopboBHwETtdbJ\nde3QNXgLJpmZ5k3t7Qdm797w+eenZkxW2LULXnkFnn7a9zR7TbwN3uwaiHz5JQwd6n2Nul3PwlZV\nWAgpKeb/Wk2cpZMSvHmuc2fYtu3UjCdYOdd585UzeNPa+s/TYJSRARde6Pv9ndk3Cd48o1TF574v\nwUxD5ct8N5DMmy/sNuctM9P8nwzxoRbR6sxb1YTVE0884XY7v8smtdalwDTgK2ArsERrvV0pdZdS\n6k7HZo8CbYDXlFIblFJr/H3cQPC2W5tTsJdNZmebM3lZWdbv25vgrWdPU2ZZWmr9OIKdpwtzVyXB\nm7Fliwn+mzWreRs7Ny3Jzzdn6qs2cqmL3RbqLiw0n4X+BPjh4aZzbiBKaQLB1xbbTnab9+Zv8Ab2\n/Nz3tWzSrpk3f8sm7RS8+fN6Neg5b1rrL7XWZ2ite2mtn3Fc94bW+k3Hz3dordtqrQdqrQdorROs\neNz65ku3NoAzzjAZpbIy68dkBWfQtnev9fv2Jnhr2dIcYKekWD+OYHbyJHzxhVnfzVt2/BJ35/ff\noV+/2rexY9t7J2fWzdtMkN3KJp1f4v5mzOzUtOTQIf9KtOzUcVLrirP8/rDj576vZZOSefOe3ea8\n+XMCqiF3m7QNX5qVAEREmD/w/v3Wj8kKzuBtzx7r9+1N8Ab2LJ1ctcoE+L40SWjXznyJ22nCvzub\nNkH//rVvY+eOk76eeLJbw5L0dP8Oepzs1LTE3/k1dlrrLS/PrDsWFubffuwavPnyGSaZN+/ZrWzS\nn9erwS7SbSe+Bm8Q3KWT2dmmBa/VmbfSUhOwdu/u+X169bJf8OZLl0mn8HBTp338uLVjamg8Cd7s\nXDbpy3w3MG25y8rMQacdZGT4N9/NyS5NSwoLzVIwvizQ7WSnzJsVJZNgz+BNuk16TsomvWNF2WR9\nn0CX4M0L/gRvwdxxMivLHPhaHbwdPAgxMd6tW2bHzNuGDf5N+LfjF7krrU3ZpCfBm10OEqvyNXhT\nyl7ZN3+blTjZpWzSWTLpT5mpnea8WRW82e1ElNa+H3/ZMfPm7zzUVq3M3N/iYuvGFMz8qR5o3tzM\nta/vE5wSvHmhsQZv2dlw7rnWl016WzIJ9gzeMjP9Kztylk7a1f79Zr5kXQdFdjvgceVr8Ab2mvdm\nVfBml7JJfw8SwV5lk1bMdwP7nbA7fNgcJEdEeH9fu2XetPa/lDkkxAS9dnnd/M1UBqJpiQRvXvDn\nACiYyyazsiAhwfrMmwRvnpFFW/3jSckkyJw3Xz+7JPPmPbtl3vxht7JJfz7rnez2me9rySTYL/OW\nm2syQf7Oq7RT6aQVcwTre96bBG8ecqbtfT0ACubMW1YWDBpkDtBKSqzbry/BW1yc+Y9UWGjdOIKZ\nszTBnzWO7PZFXtWmTXV3mgQpm5TMW92sbFhih+DN3zP8IGWTvrDbZ76vnSbBfpk3K/5Pgr06TlqR\neZPgLUjl5Ji5W76k7cG8MYqKgnPtn+xsc4DWvr21pT6+BG9NmkB8PCTXuZR74+D8Mvdnzojdvsir\n8mS+G1S8TnbszOlrt0mwV+bN6oYljf29ZkXZZGys+V60w/qeErz5xtdOk2C/zJu/gYiTnTpOSvDW\niPkz3w3MwXmfPsGXfSsuNmn21q1NoGVl6aQvwRvYq3TSijIau32RV+Vp2WSLFqY7p12+kJxKSsz7\nw9cvJ7tl3qwI3sLDzfutsZ+5tqJsskkTc6DoXLKmMbM6eGvsJwecJPPmOX8qxFzZpWzy+HFz4sif\n6ieZ8xbE/A3eIDhLJ3NyzH/S0FCT8ZLgrX75O98N7B28HT9u/m+ecYZn29uxdPLQIfPl0rSpb/e3\nS/BWWmqqEKwoOQJ7NC2xqkTLLvPerPi8B9O8IyzMPkGJP3PeIiLMNAwrp4QEs337vFueqSZ2Cd6c\nJwb8qX6SzFsQ82fOiFMwBm+uZwLj463rOJmXZw6sfflil+DNO3YO3jZvNhntJk08296OHSf9/eyy\nS9lkZqbJAHn6XqqLHea9WVE2CfaZ92ZV5g3s9bnvT+YtJMRkVXJzrR1TsEpJMb0D/GWXOW/790O3\nbv7tQxqWBDErMm/B2HEyO7viy8TKssm9e00w6MvZDAnevGOnL/GqPC2ZdLJjx0l/gzdnK/eyMuvG\nFIysalbiZIeOk5J5844Eb77xZ84b2Gvem1WZN7vMebMieJPMWxBrrGWTWVlmIW2wtmzS15JJkODN\nW3b6Eq/K2+DNjmWT/gZvLVqYM9fZ2daNKRhZ1azEyQ5lk1Zl3uyw1pvWErz5Qmv/Gi6Bvea9WZV5\ni47WpKUdYtu2bRw5cgTdSCdYpqQ0zODNogKRxs+K4K1HD/MhdOKEOSAKBqeqbNKf4K1DB1OjfuSI\nSd03ZpmZ0Levf/uIiTEfHGVlpkTETn7/Ha6/3vPtpWzSN855b1bM1wlWVjUrceraFb7/3rr9BZuC\nAjh5EiIj/d9Xhw7WrzMabPLzTSVKeLg1+7PLZ1lWlpm35s+6ZVFR9si8aW0ySd4EbydOnOCrr75i\n48aNpKSksH//flJSUkhJOQCEs2FDW9LT09Fa07VrV7p27Uq3bt3o3r07N910E92tSPMF0P79MHy4\nf/sIRMMSCd48ZEXw1rSp+ULft89k4YJBdnZF5q1DB1MXfvy4/18we/aYDJovlDL3TUoyi4c3ZpmZ\n/p+JbdrUHEDl5FT8Le2grMzzZQKcOnSAH388dWMKRgcPwiWX+LcP57y3c86xZkzByOrgrbHPeXN2\nmvRnor9Thw7w00/+7yeYWbVAt1NDy7zl5OSwadMmtm/fTm5uLsePH690OXHiBIMGDeKaa66ht8sB\nkr8lk2DKJu2QeTt0yFRJ1BXoFhYWsmLFCj788EO++OIL+vfvzwUXXMCQIUO44YYb6NatGykp3Xj6\n6XB++MHc59ixYxw4cKD8sm3bNgYNGsTVV1/NI488Qq9evU79EzwFGuqcNwnePGTF2WswB+rBtNZb\nVhacdpr5OSTE1Erv2wdnneXffvfsgSuu8P3+ztJJOwRvVnyhO7/I7RS87dtnzqi2aeP5fexYNmnF\nl1PHjmVs3ZpOq1bJFBcX07FjRzp27Eh0dDTKiqP3IJCe7nnXUk809rJJq0omwR5z3qwsmQTzmb91\nq3X7s8KJEyc4fPgwWVlZJCcns3HjRjZt2sTGjRs5evQoffv25ayzzqJ169aEh4fTuXNnwsPDCQ8P\np2nTpqxevZpLL72UyMhIrrnmGsaOHUta2rl06eLfZ4yVmTetNTk5OezevZusrCxiYmJo164dsbGx\nREREBPTzsLaSyZKSEj777DM++OADvvjiCwYOHMj111/PCy+8QAc3/5GLiyvPeYuKiiIqKoqzzz67\n/LrHH3+cuXPncv755zNixAj+9re/cZa/B4/1zNtMpTtSNhmkcnNNm9noaP/3FYgIvTbZ2TB0aMXv\nztJJK4I3X8smwT7z3qw6G+sM3s480/99NRTezncD+5QaufImeCstLeX333/np59+IikpieTkZJKT\nk0lK2keLFlH069eDZs2akZ6eTnp6OkVFRXTo0IGOHTsyYMAAZs2aRUwDPYOQkeF/+Ywr14W6G0l8\nW4kVa7w52WHO26kI3gJZlrt7927mz5/Pt99+S3Z2NtnZ2RQVFRETE0NMTAzdu3fnnHPOYfLkycyZ\nM4f4+HhC6qjrHz9+PHPnzmXt2rV8/PHHTJo0iUOH8omNHcW8eQmce+65nHXWWTStZd2T3Nxc9uzZ\nQ3R0NHFxcSilfMq8lZWVsXv3btatW8fWrVvZvXt3+QXgtNNOIzY2lpycHDIzM8nMzKS0tLQ8kBsw\nYADDhw9n+PDhdLbizL8H3DUrycvLY/78+bz00kt07dqVm2++mTlz5tC+jv+8nnSbbN26NY899hj3\n338/r732GpdccgnDhg1jxowZnHvuuX49l/pQVmZNVV10tOmwXlJiXbfiukjw5gHnZFkrvoADURtb\nG9eGJWBNx8myMv87Hp1+Onz6qX/jCHZaW1M2CQ2vhMYKvgRvdus2WVpqPr9qarNdXFzMunXr+OGH\nH/jhhx/48ccf6dChAxdeeCG9e/dm+PDh9OzZk+++68HWreG8+Wbl+xcUFJCRkUF6ejr/+c9/OPvs\ns5kzZw7jx49vcBk5q8smIyLMelxHjniXHW4orOo0CZJ580UgPvOLior473//y7x58/j999+ZPHky\nL7/8Mh06dCAmJoZWrVr5/f8+JCSEhIQEEhISmD17Ng89tINNm75m9erVvPjii+zfv5/+/ftz7rnn\n0rt3b9LS0spPMiUnJ3PixAni4+PJzs6muLiYwYMHk58/iKyswYwbN5guXbqglKK0tJTCwkIKCwsp\nKCggLy+PzZs3s3btWtatW8eGDRto3bo1gwcPpm/fvowZM4bTTjuN0047jTZt2rh9ngUFBWRlZZGe\nns5vv/3G0qVLue+++2jTpk15INe/f3+aNm1KSEhIpUubNm2IiIjw67VzzbwdPHiQV155hfnz53PZ\nZZfx4YcfkuBFKZM33SYjIyP561//yvTp03nzzTe54YYbaNOmDX/605+YMGGC38/rVDl0yASp/vag\nCA2taIpTX+cuJXjzgBWRuVOwZd6qfqFY0XEyLc08T38mGNsh85abaw7uWrb0f192Dd4mTPDuPs7X\nyS7NXTIyzP/F5s0rX6+15oknnuDFF1+kR48eXHTRRUyZMoUFCxa4PSO7dy98/XX1/YeFhdGjRw96\n9OjBBRdcwPjx47n99tt59913ef311+nq6+JMAWB18AYmaD5woHEGb1aWTUZGmjItK+ZbByurSuSd\n6quKoLi4mG3btvHOO++waNEi+vbty5133snYsWNpXvWD5RQICenN5Zf3ZsYM83tubi7r16/nt99+\nY/369XTp0oXRo0fTo0cPevbsSWxsbHlglZaWxtq1a3n11XX8+ut8Bg/+E/n5+RQXF1NSUkLLli3L\nL+Hh4Zx99tkMGjSIv/3tbwwcONDrKoKwsDDi4uKIi4vjvPPOY/r06ZSVlbFlyxZWrlzJf/7zH2bN\nmkVZWVm1S3Z2Nm3btqVPnz707t27/N/TTz+dyMhIWrZsSRM3aZ2TJ0+SmZlJRkYGq1YdIjo6g0mT\nVvHZZ58xadIk1q5dS3x8vNeve1iYySQVFVX//qhJeHg4DzzwAPfddx9fffUVb7zxBjNmzGD8+PHc\ndddd9Pf2bKsbZWVlbN++nV27dtG0aVOaN29O8+bNadGiRfnPoaGhKKXqvGzYoOjQQZGREUJoaChN\nmjSpdAkNDa0zW+zkLJ20MngrKiqq8TYJ3jxgdfAWTJk314YlYII35wRVX/lbMgnQq5cJ3hpryRFY\n+9npCVUAACAASURBVGUe7MHbG2+YQMuKznROmzbBM894d5/mzc3B4ZEj5sO2sXNXMllcXMwdd9zB\ntm3b2LFjB506dapzP54u1D1kyBDWrVvHs88+y8CBA0lMTGTq1KkefwEGitbWr/MGFaWTFhyzBJ2M\nDOvKtJWqyL717GnNPoNNsDcsKS0t5cCBA2zZsoUtW7awefNmtmzZwq5du+jatSvXXHMNP/74Y703\npjh8uHKDt8jIyPIsVl06derEVVddRWbmVfz8M8yfr8nLy6NZs2Y0b968XqoDQkJC6NevH/369ePe\ne++tcbuysjJSUlLYsWMH27dvZ/369bz33nskJSWRn59PQUEBTZo0ISwsrDzgPHbsGLm5ubRr144O\nHTqQmtqBfv3aM2pUf15++WVa+9GuWymTlTpyxPvPxZCQEK644gquuOIKUlNTWbBgAVdeeSXR0dHE\nx8eXz5l2vbRq1ar87+K8NGvWjLy8PH799Vd++eUXfvnlF9asWUNsbCx9+vShtLSUoqIiTpw4QVFR\nUfmltLQUrXWdl8JCc+nfv4zS0lJKSkrK/y0pKaGsrIzrr7+exMTESk103PE3MVNWVsbOnTtZs2ZN\n+WXbtm01bi/Bmwf8XWPEVdu25qAzGDjXnbG6bNKK4C062hxkp6ebNuWNkdXBW7C8r9x57DHzt0xM\ntGZ/ubnmrLOz2Y43nGesAx28aa2ZP38+ZWVljB8/nqioKMsfo+oE9ry8PK699lqaN2/O999/T7iH\naQ7nUgGeaNasGY8++ijXXXcdt99+O++99x4zZ85kxIgRbs8cB4OjR6FZM+uzPo25acmhQ/53MXXl\nnPfWmIM3b+eSl5WVsWHDBlasWMH+/fvJz88nPz+fvLw88vPzOXo0n549iwgPDytv/BEeHk5YWOXf\nq14KCgoqtYXfv38/Bw8epF27dpx99tmcffbZjBgxggcffJA+ffoQ5k8ZjZ8OH/b/s9o5500pRaSV\nZxAtFBISQnx8PPHx8YwaNara7VprTp48SUFBQXm5Z2RkJG3bti0/OXbWWTBnjv/LDzk5kw3+nNTq\n0qULjz/+ODNnzmT9+vWkpaWVz5leu3Yt6enpZGRkkJ+fXx58nTx5svznFi1akJCQwHnnncd9993H\nkCFDaGdR/fELL5jj+xdfdH97fn4+c+fOZdiwYYwePZrHH3+cHjUc3PrStCQvL48lS5bw/vvv89tv\nvxETE8OQIUNISEjgpptuYsCAATX+3wvOb9Igk5oK/fpZs69gyrzl5ZkDFteyPWfZpD8Zrz17zH78\n5SydbMzBmx0WbNXavOfnzoXp060JmjZvNl9UoaHe39c57y2QzV201syYMYPly5dzxhlnMGPGDK6+\n+mpuu+02hg0bZtkZYdfMW3p6OqNHjyYhIYF//vOfXgVSsbHmDOzJk+YzwxN9+vRh9erVLFq0iCef\nfJJbb72VCRMmMHHiRAYMGBBUc+KsXqDbqTEvF2BlwxJo/PPePJ3zlpOTw1dffcXy5ctZsWIF0dHR\nXHHFFfTv359WrVoRERFRfhkzJoKFC5sTGVlQrfW+6yU/P59Dhw6V/96yZUvi4uIYPnw43bp1Iy4u\njq5du9ZLGaS3srP9/85oDOu8KaXKM1LuMmpaW7dAt5Mz82aFJk2aeDXnrj7s31/7sWpERASPPPII\nd999N3PmzCEhIYFrr72Wv//979WmBHjTz2L9+vW8+eabfPDBBwwfPpzp06dzwQUXeFWmK8GbB1JT\nYfRoa/YVTA1L3H2ZREWZdcOys30PLPbsgcsv9398zuDNyg5wwcQuZZN5eeYEwfXXw7PPwnPP+b9P\nX5qVOAV6uYCysjKmTZvG2rVrWbVqFW3atCErK4u3336bqVOncvLkSW699VbGjh1L7969/Qpy9u83\n/4+2b9/O6NGjue2225g5c6bX+wwNNe+xjAzvlh0ICQlhypQpTJkyhaSkJN555x2uu+46WrZsyaRJ\nk5g0aRIdT0XU5KVTMd8NzD5//dX6/QYDKxuWgAne0tOt258v0tLS2LFjByEhZg6M8+I80eFJKZbr\n5cSJE+UNMbZtK+T7782/BQUF5RkU13/T09PZvn07f/jDHxg1alStZ/rBlDNHRDTOslwnK+YR2WGd\nt8OHK9Z8tYqVwVsw2r8f/vCHureLiooiMTGR6dOn8/zzz3POOecwfPhwOnXqRGxsLO3atePIkVh+\n+y2WIUNiaNasGUqp8mY0Sim01qxYsYI33niDzMxM7rjjDrZs2eLRtAV3JHjzQGNtWFJTgOYsnfQn\nePO3bBIaf9MSK+dABHPwdviwed///e8mg/3AA/4fKPsbvAWq42RJSQm33XYb+/bt45tvvikv4WnX\nrh0PPvggDzzwAGvWrGHhwoWMHDkSpRQjR45k5MiRXHrppUR7uV5JUlIO4eHfM3z43Tz77LPccsst\nPo/dOe/N1zXjevXqxRNPPEFiYiI//vgjixYt4swzz2TkyJFMmzaNCy64IGDZuFMVvDXmpSmsbFgC\ngVkuoLS0lDVr1vD555/zxRdfsG/fPvr27YvWmtLS0koXwKMmCK6XFi1alM9Rys4OIyurJaGhYYSF\nhdG2bdvy28LCzHVt2rQhISGBFh62v2vM7y8nK8omG0PmrS4pKf51+HYnmCrFToWUFO++z9q2bcvs\n2bN54IEH+Pbbb8nMzCQrK4v169eTnJzFxo2ZfPVVVvl8Oa11eUMarTUJCQnMmjWLESNGEOpL2ZAL\nCd48YGXwFmyZN3dntJylk75kuLWG5GTrgreffvJ/P8EqM9O6+R3BHLzl5Jj3fZcucMst8NRT8Oqr\n/u1z0ya4+Wbf7huo5QJOnjzJjTfeSF5eHsuXL3dby66UYsiQIQwZMgStNTt27GDFihXMmzePW265\nhX79+nHeeefRoUMHYmNjyy/t27enWbNmbNq0iXXr1pVfUlKyyco6h7fffpsRI0b4NX5v5r3VRinF\nhRdeyIUXXsjzzz/PokWLuPXWWwkPD2fatGlMmDCh3ufYSPDmnePHTSe6Vq2s22eHDqc+S3n48GGS\nkpLYsWMH33zzDV9++SWdOnVi9OjRvPzyywwdOvSUzcsMC4PXXjOZMqsE8+e+FcrKrFlqww6ZN6tL\nJsEemTdfTkbGxsYyoUqr69deg99/h3/9y6LB1UGCtzoUFZnmCFa1//Ql81ZWVnZKurXVVIPvz3IB\nCxeaL2ErDoQae+YtM7PyAun+iI6GggLv2vrWF2fmDeCvf4U+feDPf/b9LGFpKWzZ4vs81PbtISnJ\nt/v6qrCwsLxRyCeffOLR3BKlFH369KFPnz7cf//9FBYWsnr1ajZs2MChQ4fYvHlz+eKwmZmZFBQU\n0LdvXwYNGsTYsWP5xz/+wZAhp/PNNyGWtKr3tOOkN6Kiorj33nuZNm0aX3/9Na+++iozZszgT3/6\nE0888YTfZyc9ZUWnyZMnT5YvVpyVlUVWVhY7dmSRlFTKwoXRREdXXKKioggJCWHPnj0kJyeXL/6b\nnJzM3r17CQ8Pp3PnznTp0qXSvy1btiQ/P7/SXKbjx49TWFhYrVOb8xISEuK2NbnrpbS0tNLvdZUD\nHjmiadpU8+c/m1LC008/nVtuucXjjJE7Vs55y83N5ccff+S3335j165dJCUlkZSURGlpKb169eL0\n00/noosu4umnn6abr6lkLxw/bk5sWt0Qp7EHb0ePmhME/sbTzsxbY+5e7e/auu405uDt+HFzsarv\ngC8NS/whwVsdnK30rYqdIiLMpH9PD7L37t3L0KFDufLKK7nqqqu47LLLLDsrXXWZAKf4eNiwwfv9\n7d0Lf/kLfPedNa9Xz55mn/W5an19snLOm1LmQygry7ossVWcmTcwz3fqVJg1C/7v/3zbX3Kyed/6\n2pyxvrMhO3bsYOrUqXTq1ImFCxfStGlTn/bTsmVLRowY4XEG7dgxE+j60S26Eqsyb+6EhISUl4fu\n2bOH2267jdtvv50FCxbUyzIDGRlwzjmebVtcXMyOHTvYsGEDGzZsYOPGjWzevJljx47Rtm1b2rVr\nR0xMDO3ataN163bk5YXy/ffHOHr0aKVLSUkJPXr0KF/497rrruO0004jPj6ewsJCUlNTOXjwYPm/\nmzZt4sSJE0RERBAeHl7+b/v27WnZsiXFxcXlLbPz8vLIzs6mqKgIrXW1BYFrujjneLkrAYSKssGC\nAkV0tKJjR/P7F198waxZs3j44Ye56667fPqO8mfO27Fjx/jf//7HypUrWbVqFdu2bWPw4MEMHTqU\nyy67jKlTp9KrVy/atWsXkNLc/5+96w6Poly/Z5MQUgmEdHrH0BEBUWIApSOCBeyIPxVUpNgrir0A\n6sV61Wu5XvWKqKBclCIqIErvNQIhkBBSSO+Z3x+HyaZsmdmdnj3Ps0+SzezM7O7M933nfc97XtGc\nSulDW528KWFWAnCt5e8PlJR413/WyFBDNtmiBctgrIiTJ5l1U+qe1FpVZ8ElsbJwJi30FDabXUcs\nJTvVoUMHbNy4EStWrMDixYtx0003YdiwYbjyyisxfvx4hw11pcJZ5q1jR2DZMnn7qqoCbr0VePhh\n5Wxqg4L4GR0/7pklvNGhdNNWcSI3GnmrnXkDmHXr0gU4dAjo1k3+/nbv9q5AXwvZZEVFBb7//nu8\n88472LdvH+655x489thjmmWSAOUnp4QE4MABZfblCh07dsSKFSswatQozJo1C0uWLFF9we1ONllR\nUYG3334bn332Gfbv34+2bduib9++6NevHx599FH07t0bMTExDonmF18Ab74pP9jQ2mg3ci18+y3L\nCR54gH/ff//92LFjB5577jm8/PLLmDdvHmbOnIlwGbpKqTVv1dXVOHjwIP7888+a/k9Hjx7FwIED\nkZycjFdffRWDBg3yKguoNJTu8SYiJkabe1IvKNn0WMy+WZW8HT+uvLlbZCSwbZuy+zQKPJVMOoPW\nfhY+8uYGUu195UAOeQOATp06Yc6cOZgzZw5ycnLwv//9D8uXL8cDDzyA66+/HgsWLJBlMSoiK4vS\nxPrwRDa5cCGzbXPnyj4Nl2jThlItq5I3Ja8to0Zha2feAEo8584F5s8HvvxS/v68MSsB1HWbTEtL\nw/vvv48PPvgAXbp0wcyZMzF58mQESvXXVxBK10C0aqVe5q0+wsLCsHLlSowYMQIPPfQQXnnlFVUJ\nnCvy9vPPP2POnDlo3bo1Fi1ahP79+yNMRuGSmOlVoY2fbnDUJqBfv3745ptvsGfPHjz//PPo1KkT\npk+fjm7duiEhIQGtWrVCQkICWrRo4fC7jInhfFtdXVe5kZmZWYeo1e6HNGjQIEybNg39+vUzpM29\nCDXWEYB1aypFKGFWIkKsezOAua0q8NW8yYPS5M0nmzQYvLHMdwZv0quRkZG48cYbceONNyInJwdP\nP/00LrjgAjzxxBO4++67ZUmynE0o7doxal9VJa2P1q5dwKuvAlu3etZ3yxX0tnVXC1VVvAaUzOoa\nlbxlZzecVO67j4TcEyK2fTtw++2en4+zRaI3SEtLwyOPPIKVK1fihhtuwM8//4yePXsqs3MPofTk\npKZs0hEiIiLw008/YdiwYQgNDcXTSnV4dwBHNW9Hjx7FvHnzsH//fixatAgTJkzwiECKC2xHgTKz\nwpXTZK9evfDll1/i4MGD+Oyzz7B+/XqcOnUKp0+fxunTp1FWVoaEhIQ6hE78GRzcCitX+uPo0S01\nZO3cuXO46KKLMHjwYMydOxcDBw5UrEmvVlCLvEVHG3PMVwpKySYB6ztO+mre5MFH3iwOpWWTgHLp\n1cjISLz55puYMWMG5s6di3fffReLFi3CmDFjJL0+M1NAevomXHPNYnz33Xeorq6uqXmoqPBH8+b+\naNIkAP3798fkyZMxadKkBj2ZysqAm28GXntN+agPYN3IYk4OI4FK1vIZlbzl5AD9+9d9LiyM5iVP\nPgksXy59XxUVwIYNNMbxFE2b8vi5ud4vDEpKSrBw4UIsXrwYd999N06cOCFLKqYm1Mi8KW1Y4g4t\nW7bE6tWrcdlllyE4OBgPP/yw4scoKeFDlPYWFBTg+eefxwcffIAHH3wQX3/9tVdZHSsGoDIyAHex\nie7du+P5559v8HxhYSHS09PrELq0tDT89ddfqKw8hUceKUdS0gCMHj0a8+fPR9euXTWpe1QTapK3\ns2eV369RoKRs0sqOk+fOKVvfLMLKrQKk9niTitBQfgclJexrqzZ85M0N1Bh0lS5sTExMxKpVq/Dj\njz9i9uzZWLJkCebNm4cuXbqgdevWDSa+iooKLF26FLt2LcaLL+bggQdm46OPPkJISEhNT5vLL6/C\nY49VY9Cgcvz+++9YtmwZHn/8cSQmJmLy5MmYPHkyOnTogCefZP3SLbco935qQy9bd7WhdL0bYFzy\nVr/mTcSMGZTb/vknMGiQtH39+SeNbLy9J8UFtafkTRAEfPvtt7j//vvRv39/bN26FR06dPDupBRG\naiowdqxy+4uIoHlQQYGyFvHuEBsbi7Vr1yIpKQkhISGYNWuWovs/dqwYzZtvwlNP/Ypff/0V27dv\nx9VXX43du3d73EC1NqwYgDpzBrj8cs9eGxYWhi5duqBLly4N/nfFFcCDDwJedrUwHNQY7wGOg1lZ\nyu/XKFBSNmnlzJsYqFNaWR4VZd3ggNKZN5vNvrZv1Uq5/TqDj7y5QVaWcgYcItQobLTZbBg/fjxG\njhyJJUuW4JlnnkFKSgpycnLQrl07dOzYEZ06dUJ4eDg+++wzdOrUCX5+j2PbtvGIirJrHcUeN126\n2GuyRLJWXl6OtWvXYtmyZRg0aBDKyqpQUGBD8+YCoqK4oBX30b17d/Tt27fm0aNHD4+i17Gx6vf+\n0QNqkTcjFq/n5Dgmb0FBNLh5/XWaOkjBmjWeLxprQ1xQ9+gh/7X79u3Dfffdh8zMTHz44YcYPny4\n9yekAtSYnMS6N0+MZrxBq1atagjc+++/36D5aXV1NYKDgxEeHo7w8HCEhYXV/B4cHFzjpFjbWbGo\nqAgbNmzAjh274O/fF9XVl+GJJ57AkCFDZNW0uYMVyVtGRsOaNyWgZLsAI+HsWbZIURohIbS/LypS\nvg2BEZCVpdwYZuXMmxpOkwDJSF4eFS8emiQbFkrPj4B9be8jbwaAWrJJtVLRgYGBmDdvHubNmwcA\nKC4uxvHjx5GSkoKUlBRkZmZi+fLl6NGjH0JDnTe/7NixoWlJYGAgxowZgzFjxuCVV95F7945eOcd\nG0aORB0r6bKyMuzfvx87d+7EL7/8gsWLFyMlJQVdunSpQ+j69OmDSDcNqKwoOQIaX+bNWfR08mTg\nqaekt4NYvRpQovTJ04zugQMHkJycjPnz52PGjBmqNfRVAmoUsIt1b1qTNwBo3749du3ahZMnT8LP\nzw82m62GiNlsNpSUlKCgoAAFBQUoLCys+b2kpKRBX7OKigqEh4djwYIFOHPmYnz9dQgcKPwUQWws\n6zStBEeGJUrAm3YBRoZaskmxRUxWljXJmxpuk1aEGmM9QA8Dsa5SC0KiFaqr6ZartKGvlnVvxl15\nGARqGZYcP67sPp0hJCQEiYmJSExMrPP86dM8D2elBB06AD//7Hy/L7zgj1GjonHDDY7/Hx8fjxEj\nRtT8XVpain379mHnzp3YuXMnli1bhl27dqFFixbo27cvEhMTkZCQgPj4+DqP2Nhgy0WtgcZF3pxl\n3gCSgfbtgU2bgKQk1/vJy2ObgEsv9f6cPAkKFBQUYPLkyXj55Zcxffp0709CRVRUcIGtgOqvDvSo\ne6uNFi1aoIXChR1LlnjfoNsVrCj9dmVY4g3i4rioshrUIm+Ave5NjcW73lDSsKR5c+uSNzXMSkSI\n2XArkTfR/Vfp2jQte735yJsbqNkqQE+4I6UdOjhvzpidDXz4IRfSUhEUFIQLL7wQF154Yc1z1dXV\nOHbsGHbu3IkDBw7g4MGD+OWXX5Ceno6MjAykp6cjMLApiotboE+fCDRr1gwREfafV111FUaNGiX9\nJAwEpdsEAMYkb9XVlKq4Wm+PGwf8+KN78vbrr8DgwcoMuHKlbIIg4LbbbkNSUpLhiRtAghUXp7zU\nJSFBX/KmBjIy1LUPt5pssrCQ97WCytIaxMfTtdhqUGO8FxEVZd26N6Vr3rR0y9USJ05IrxuXCytK\nmdWQTAK+zJuhoIZsUmtLUUdw974cySZFvPEGcM013qec/fz80KlTJ3Tq1Mnh/wVBQEbGObRrdw4f\nf5yHgoJ85OXlIT8/H9nZ2bjrrrswatQoLFy4UNEaFS2QmQn07evZa48cOYIffvgBYWFhiI2NrXmE\nh8ciMzMYgqB84bInqK6uxpYthxEYuAUPP7wTJSUlNXWR4k8AyM0Nwvr1UejQIQrR0dGIjo5GVFQU\nWrVqhYhazbFWr1am3g3ggvrIEenbv/rqq0hNTcXnn3+uzAmoDLUmp4QE7ttKSE9nUEAtWI28iZJJ\nNcYYK8sm1TAsAaztOKm026Qv8yYfPvImHVo26vaRNxeorm7YYFgJGCHz5i6jGB/PjElxMYuiReTl\nAW+/rY2JiM1mQ3x8CwQHt0D79g2zN9OmTcPcuXPRp08ffPzxxxg6dKjsYwiCgKysLGRkZKCkpAQl\nJSUoLi6u+V0QBIwdO9ZtbZ5cyJVNFhcX45tvvsEHH3yAgwcPYtKkSaioqMCZM2fqPMrLm6J9+0iE\nhYUiLCwMYWFhCA3l73FxcejXrx/69euH7t27K1qvVVlZicOHD2PXrl3Yvn07tmzZgu3bt6N582j4\n+Q1ATEz/Ggv92vWRAFBUVIIffsjCb79tR2lpFs6ePYusrCykpaWhc+fOGDFiBEaMGIGffhqKL79U\nhqTLmZDWrl2LxYsX46+//jJ0I+DaUJO8bd6s/H71hKsG3UpAJG9GCap4C7Ukk4Ax1QPeoriYFuJq\nxRet6ggoCMpn3qxsWKKWbNaq5E2Nz6tlS+3GLx95c4HcXFpiKy090lIX6wxZWa4jWn5+XPwdPw7U\nLpd7+21g9GjatWsFcfFTn7w1a9YMH374IVasWIEpU6bgxhtvxLPPPougoKAG+8jOzsaePXtw5MiR\nGvOWo0ePIiUlBf7+/khISEBISAhCQkIQHBxc87OkpASzZs3C1KlTMXv2bHTv3l2R93T2LBAYeBb/\n+c9qrF27Fv7+/mjTpk2Dx/79+/Hhhx/iq6++wuDBgzF79myMHz8egYGBDfYpCAI6dMjDxx+fQ1RU\nIQoLC1FUVITCQv6elpaGH3/8Ec899xzS0tLQq1cv9O/fH3379kVMTAyaNWuG8PDwOj8B1iuWlpai\npKSk5vecnBzs3bsXu3fvxu7du3Ho0CG0adOmZp+PPfYYBgwYgKNHI3HPPXSVdIVdu5j9uPtu+3MV\nFRXYsmUL1q5diwULXsaRI9fivvv6Yvjw4UhKSsLAgQNrzlEupGZDUlNTcdNNN+Hzzz9HmzZtPDqW\nHlBrMte6UbcWUJu8hYZyPC0s1LbFglpQy2kSsGYWSQyUqkXcrdouoKCAPTmVipdZNfNWVMSxRa3M\nblycPJWKGZCaytIgpdGypXaO3z7y5gJqFRlrmVp1BinvTZROiuStuJiSybVr1T+/2hAL/p3xpgkT\nJuDiiy/GzJkzMWDAALz22mvIycmpIRa7d+9GQUEBevbsia5du6Jz5864+uqraySb7rJqGRkZePfd\nd5GcnIx+/fphzpw5GDlyZE3mCGDmKTc3F7m5uaiqqqrJeoWFhaHJefZfWVmJzZs3Y9WqVdi69Sfc\ncMNhDB+ejCuuuAIBAQE4efIk1q1bh5MnT+LkyZNIS0tDfHw8pk+fjp07d7olD8xUNkdgYHO3DXTz\n8/NrsmSbN29GdnY2CgoKkJ+fX/MzPz8fNpsNQUFBCAoKQnBwcM3vERER6NGjB5KSknDvvfeiR48e\nCKmdoj0PqZHT8eOBTz6pS96aNGmCIUOGYMiQIWjd+kkkJBRjxoyNWLt2LZ555hls374dnTt3rtlm\nyJAh6NixY53vxRmkkLfS0lJcc801mDt3rmHbAThDaqrnslxXiI+3nqwtPV1dwxLAfr1ZgbypmXlr\n2ZJB06oqOt1ZAWqalQAMwmplgKYllMy6AdbNvKnV401EXBzw++/q7FsvKN2gW4TpDEtsNttoAK8D\n8APwoSAIL9f7fzcA/wLQH8BjgiAsUuK4akMNp0mAMkQtO7E7QlaWczIkokOHunVv//wnMGSIZ72x\nvIGUhXZUVBT++9//4osvvsDjjz+Ojh07ok+fPpgxYwZ69+6Ndu3aSVrUO0JcXByefvppPPLII/ji\niy/w0EMP4Z577kFYWFgNYSsuLkZERARatGiBgICAmoxXQUEBAgICEBYWhvLycnTu3BmjRo1CQMBr\nOHr0YsTGNsygiRDrwuSct1TZUbNmzTB06FCPpKZy4MppsjZGjgT+7/8aynRFrF4NjBkTgiuuuAJX\nXHEFAKC8vBw7d+7Epk2bsGLFCjz66KMIDQ3FrFmzcOutt9bINB1B/Jyqq507rs6ePRtt27bFgw8+\nKOWtGgonTgATJyq/3/h4Zt6sIgGsquIiUa1MkgjR3bRzZ3WPowXUzLwFBDBDkpOjLuHREmo16BZh\n1cybkk6TgHUzb8ePq+s0alXZZKM3LLHZbH4AlgAYAeA0gC02m+17QRAO1tosG8AsAFd5ezwtoYZZ\nCaB9J3ZHOHsWcLdur+04WVYGvPYa8N136p9bfUi1dbfZbLjhhhtwg7P+BV4iKCgIt912G6ZNm4Yd\nO3YAoHV5ZGQkwsPD4eeABQiCgLKyMhQWFsLPzw+RkZEoKwMWLnQ/oXtCNmNijGWOIDV62rw50L8/\nsG4ds3C1UV3NbO+LL9Z9PjAwEAMHDsTAgQMxZ84cCIKADRs24I033sD8+fNxyy23YNasWejYsWOD\n4zVtyixITk7dezw1NRXfffcdli1bhszMTPz5558ek349odbkFBYGBAa6dxA1CzIzGVxQu12fMedP\nzQAAIABJREFUlUxLzpwBevdWb/+idNIq5E3t92JFqSmgrFkJYO3Mm1pmJYCPvMmBlqo6JzFnWRgI\n4IggCCcEQagA8CWAOjFfQRCyBEHYBqBSgeNpBjUHXb1NS+TIJgHg00+Bnj2BWk7/msFoCx+bzYb+\n/fujf//+6NChAyIiIhwSN3HboKAgREVF1cgz1ayBaN3aWH2SpGbeAHvLgPrYs4cTr7voos1mw9Ch\nQ7F06VLs2LEDgYGBGDRoECZOnIiVK1diz549SElJQXp6OvLy8hATU4EzZ9h4+4UXXsCAAQPQv39/\n7NixA/PmzcO2bdtcZu+MCkFQb3ICrFX3pna9mwijjWHeQE3ZJGBvCmwVaCGbtCp5UzLzFh5uN4+x\nEnyZN3koLmaNoBr3pKkybwBaAThZ6+80kNCZHmrJJgH92wW4MywB7LLJykrgpZdYk6QH4uK0cbfU\nCmr2/GnfHlizRp19e4KcHOlSsXHjaIZTX5LnSYuAtm3b4uWXX8b8+fPx+eef46WXXkJOTk6Nk2hx\ncTHy84vQuzcQHx+HSZMm4ZVXXkFSUpKiLpx6ICeHJkseerm4hVj3prV8Wg34yJt8qCmbBKyXSdIi\n8+aTTbqHnx+VA/n51lANiDhxArjySvX2Hx5OwltYqJ5jqpZITQXatFEneB4ZyZpdLcoKDLlKefrp\np2t+T05ORnJysqzXnz0LLF4MvPCCd+dx9qz3vcycwQyZN1E2+eWX/BwuvVSbc6sPqbJJs0DNGoj2\n7Y1VvJ6dDQyUGMq54AKaFOzdC/TqZX9+9WpgxgzPjh8SEoI77rgDd9xxR4P/TZ0KjB1bjptvbmJK\naaQzqJl1A6yVecvIUN+sBOAYtnu3+sfRAmKfN7VgNfKWmQl07are/lu0YC1XZaX68l8tobRsErDX\nvVmNvKmZebPZ7KZxViFvas2PgYH0scjPp1rIE6xfvx7r1693u50St/opALU/itbnn/MYtcmbJ9i1\nC3j5ZeCBB6RLthzh7FmgXz+vTsUp9CRvUvuntGjBaNUTTwDvv6/NuTmClaLWgLoNWzt0MBZ5k9Mn\n0WazSydF8lZaCmzaBHz1lfLnFhsLZGcHWsJ4ozZOnPCRN6nQKvMWF8cghNkhCNrIJq1E3tTOvPn7\nc67OyVHXGEVrZGXVbVOkBKxY96a2bBKwSye1bBGlFtQObkZHc4z0lLzVT1g988wzDrdTouZtC4DO\nNputnc1mCwQwFcByF9urvlQ6eZImB95OllaVTZ47R0c/Kf1TOnbkZ3De4E8XGJG8jRrl+fenZuYt\nIYH7LytTZ/9ykZ0tL4BSv+5t0ybK85o3V/7cxGii1aBWA1IRCQnWaRfgk03KQ2Ehf6oZgY+J8ZE3\nubAa4QXUzbxZBaWlJO1qj2FWqntTm7y1bctjqA2vM2+CIFTZbLZ7AfwMe6uAAzab7S7+W3jfZrPF\nAtgKIBxAtc1mmw0gURCEQm+P7wgnT3IC+N//gClTPN+PWm6TgL6ZNzmk9Mor6UrZIDuRmsriqupq\nhmNrP/z9KSru3JmrSC+7nIsLH6PYk6enAz//DGzbRot7uVCTvAUE0MH05Elj2JLLybwBQHIy71nR\n6GT1avUCB7GxwKFD6uxbT6g9OcXHAxs3qrd/LZGeDgwbpv5xrELe1M66AZybrNRXSgvyFhVlvbo3\npQ1LAOtl3lJTWdKidk9Eq5G3pCT19t+uHdUvakMRhbQgCKsAdKv33Hu1fj8DwHWHYQWRmgrcdhvw\n8ceu+zi5g9qZt6NH1dm3O8ghpQ4VrHv3MvU0dChTeH5+ZFXio7KSOreUFOqrWrUik+jUiQ/x944d\ngdBQt+cQHAwEBbmxJy8v54py5Upg506gWzdqXvv2pU2mlDSjRGzbxp87d3pO3rp1c7+dpxDr3oxA\n3uRm3oKD2Tzzp5+A669nfGDhQnXOzSoL6vo4cQK46CL19m812aRWNW9WuNbUNisBrJdFUtOgSoTV\nPjNAecMSwHqZN7XbBIiwGnlTU5liKvJmNJw8CVx9NfDtt1xg9+/v2X6s2irAq/e1dSsbcS1cCNx4\no/vty8t5JR89SjKXkgL8+it/HjvG0bRzZ1Z09+zJR69eXCHUSrOJi5865O30aaZXV65kI7CuXYGx\nY4HZs4EjR3icN97g7126kMiJhK5vX4+rlrdtY7Rr1y6PXq5601aj1L1VVQEFBfK136J0cuRIZsYG\nD1bn/Kwsm/TVvElDRoY2ssmwMAYSze7YprZZCWAtIlJSAlRUqOf8KsKK7QLUkE1aLfOmRb0bwLly\nyxb1j6MF1J4f27Xj0lNtWJa8tWkDjBnDtb0n5K2oiDK9kBDlzw/Qt+ZNSpsAh9iwAZg8me4lV0ns\ntx4YSOLUpUvD/1VXA6dOkcgdOsSM3vLlbOwFkMSdr1hecu4com/LA/zPcfQ9d44z48iRwMSJwNtv\nO19VlJYC+/YBO3aQzX/zDZlXy5Z2MtetG1cN4iMqyqncc+tWYNo0Bgc8gdqR2Pbt7f359ERuLidL\nuZKOsWNpkrN6NZO7gYHqnJ/VXExFqG1YIrYKMIqM2VMIgnbkzWazB6DMTt60kE1ahYio2dOzNqzY\nLkAN2aQv8+YZrJJ5q65mH1y1XOQBX+bNYwhCXfL27LPA44/L348omVRr0DVd5m31ambaPv9cuSIk\nPz9+UW3asNhJhGhptmcPcOAA4O+Pg+0jEJzUHEMnNCcjiIhgCkCKN3JQELuL1+4wXl1N0igSum+/\n5QeTmcmfOTlcZbVuzYuoFlndto2Jx4ULyQuDguS9bbUzb+3bA6tWqbd/qZDToLs22rblV/vii5Q/\nqwXRGMEbabXRUFpK0qwmIQkJ4TWfm+udm6/eOHeOgQG1AnT1IZI3Mzu2aSGbjIri2GGF+1KLejeA\nn9nff6t/HK1QXMzvX+l7MyLCOmZLADNvWpjJWYW8ZWbyGggOVu8YWrVrshx5y8sj4YqIYO3Mtddy\nkSFXIaf2oBsZqW/mTRZ5+O474M47gWXLtGn2JjYWiYurGZkOHwDQChiq1OH9/OwZweuua/j/6mpe\nONu3AzNnMlv35ptIL22BsjL7S/ftq8sJ3UEQ1G0VABin15vHkdOSEjzY5SccWbYbE1qNB4R+qkRR\nAgPZgDQnRz1jIq2RlsYSU7UXvaJ00szkTSunSRFWqHs7c4ZCBTXRpIl17kutyFt0NPDXX+ofRyuI\nkkmlh/3mzYGDB5Xdp57wZd7kQW3JJMBcxOnT6vddtBx5E7unA4wOJyXRGVCu66SaTpMAF7U5OfpI\nj86epf26SwgCtXfffAMsWsRUjqfFgwpA84WPnx+/pCuuoMTykUeAXr1w8vb3cOGF42CzcRGzc6c8\n8lZUxO9bgk+LxzBKzZuszFtpKa+x//4XWLkSV3bqh6/D+qLjo9cBj9nYUXvqVAkXrjyIk5LZF4ki\n1G7YKkIkbz17qn8staCVWYmImjFMEFgMWljIG8RV6r6igpNaSgpTK+XlHJciI+v+bNaMq4XSUvYJ\nKSuz/15dzX2JhlLi782bk73KYPpayCYBu3TS7Pel2ioLEVaSmgLqmJUA1qt502q8F8cus2fDtSBv\ngYG8H0+fVvdYliNvJ0/W/cDEuje55E1Np0mAaVubjWVbWsl2RDiNBp46BfzyC7BuHR/l5cDw4fz9\nggu0Pcl6iI3VMbIYGgr84x/A5MnoMnk6Xmj7DZC3GH36RMg2LdFiMo+PZ+TSE0mnkpCUeduyBXj9\ndTqU9OvHLOjixYiIjcU15wBbxCLqVL/8Ehg9mrPvlCmMyiQmen2TipOSmUlIbWgxOQHG6/X2008M\nWnTtKv01qta7ZWUx6LNrF4lXRgYe/ysD4UszgHnpXAGJ6aUmTchSxEdkJAfplBSOyfHxdObt1Ik3\n9ObNfF12tv1nXh7307QpH0FB9t/9/UkYgZqflZUC/PJy4Zebw1Rt27b2R6tWJHbNmtV9hIejMC0A\nCSEA6i+AQ0O9bglTGyIZ0Xna8RpayiatVPOmhlkJYK2at4oKjmGtWql/rKZNWUWSm6sOqdYKateD\nixDr3nzkTQbEejcRYt2b3IiBFlE/0bREa/LWwLBk2TIWBp49y9qz4cOBhx6iiYdBHAkM4Qw4bBju\nGrwbL1U/BPTsiXETH8LsnbcBkO5AoAV58/dnqV5qqrzFrNJwmXkrKKAryVdf8dpbtKhBMQ0bc9uA\nAQP4eOUV4I8/mJ17/HFqVgMCuMJLTOSjf3/65EtsDWEFKVttaDU5xccby3Fy1iwuZK68kpdV9+7u\nX+O1bFLUQB87RqK1Z4+dsBUVAb17A336cBxNTsbWtvHYnRmHZ96Ls7uWCAIzcFlZ9oe4cu3UiasA\nKY49MiUcs+/hqf/3szJqbVNTefGkplJOkJ/PVW5+fp3HsnPVCL0W7OhaG9XVwJAhnDuGD2cgxovm\nU1bJJGkpm7TC5yVCDbMSwFqZt7Q0jl8KxkxcQlSpmJm8paZqIzMVydvQoeodw/LkrWNH3rByWwZo\nMeiKpiVtNOuAR9S8t+xsrnq2bgXefZfEzaA5caM4A27YFQ7/P94BTt+C9i8sxH82PQ3hgemw3TdL\n0qpZKxmNWPemJ3lzOgGvWAHccw8wYgQJmNTZwM8PuOQSPgC7sc3+/Xzs2wd8+imdSy+6iEWvycnA\noEFOU5BW0fKLSE3lGlptJCTo16fSEdLT+fV/9hmTspdfThJ33qzW6Wskk7fsbMp6N28mWTt2jDdY\nUBBTfh07Mn17110kbO3aNSBT1QD2fom6sR6bjRm48HDux1PIDLKlpjLZvfWhphgwoJMkFxVBAGJD\ngKx0B7LvnBz6Y69bB9x6Kz/cyy7jxRgTw6LzyMi6P13IAkQzIbPj7FltDGrEVgFmd4AVoZZsUk+v\nAaWhVZsAEeJcqXDlgqZQu0G3CC0cJy1J3oYPr/ucJy0DsrK8m0ulQK92AVlZQNxfy4H7Z1CCtnOn\n9uk/mTBChuT0aSpJ27YF0O5iNF2xFMlxx7Dq3BJE9OtHMjJ3LnDxxU73oUXDVsAYpiU5OfVkT+np\n7MG3Ywfw8ccNb1S5qG1sU3tfeXls2L5+PTPI+/bx5h8wgBmBfv2YmgkIMFwGyVukprI0UG0kJAC/\n/ab+caSgsJDlXm3aMCF7333AW28Bw4aRu8+f75jEpafzUnAIQWDrkh9+IMvZvZvXWFIS7/MOHfiQ\n0cDLEOqB8zh1Cpg+HXj0URoJS0FBAZNpDut1IyOBSZP4ALjK++UXat337OFgkJtr/5mby0G9f/+6\nj/h4wGZDdDTHSrNDq2BdcDAzMIWFjAOYHWrJJsVaXSuQXK3MSkRYIdCpVVlBu3Zc5qgJS5K3+pks\nT1oGaCGb1KNdQGl6Lt4pmo2QJzayjkiLMIQCiI3lRKjnoLttG81Jah8/8sIO+GX8Qly1aD7wr38B\nN93EO/eNN9inrh4UmcwFwW6h6uTDkGVaUlrKC/HcOe73XK1eegBXa/UfMTFuR8GazFthIfDJJ8Az\nzwB33MHf1fTqjYhgs7ixY/l3QQEzJtu3cyH+7LNcvfbsiUlh/bCqJBkoGGeJVY+WhiVGqXkTa9fE\nWyE8nP5C997L9o+XXcbL7skn6152GRn1zDfS05k9+uUXRvv8/YHx4/nCyy7zuoDUCAEoEadOsTvK\n5ZcDa9bwpzvIMiuJiwOuv54PR6iuZvZy+3Y+/vEP/vT3BwYOxIjAUfg1ZAyAjlLfkiGhlWwSsGff\nLDCMITtbneB5SAinL7XIoZbQK/NmZmhF3tq3p0m7mrAceXP05XjSMkAr2aQmmbfqamDTJmDpUjT5\nz5coD74Wtt271bU8VBjBwSxjyssTa6G0x7ZtTN7URt++LHG56qpmzCrdey/w3nuMzk+dCixYUOeE\nz551IJMtLeXK01mdVlkZFzYbN/J73LSJNTUBAfa6mt69+ejRAwgJQeeYAmxYkQvsqBXxPnuWYcdT\np+w/T53iviIjeZ4tWvCn+AD4//qPtDTOflddxSbpAwbUldwKAuL+3oShH38E3H2+xcSaNTxHrREe\nTtfQ2g1xCgr4xX21HQM//xRodSczK9deC0yYICujYhRUVzsOXqkBI2Usnckfw8KYeL35ZmDOHMZS\n3n33PFERBFSmpqPbjt+ApeuZpT1zhsGs5GSm7xITFY0UGYW8VVRwSGjdGnjuOWbfRoxw/1YV7fHm\n50c9YadOvOcABqXS0oCNG9Hu7VWYs+VZ4M8IRl/HjOF3o2bQRwVoSd7ERt0dzc13AfB91J9rlUKr\nVvbpy8w4cUKbzk0izE7eiosZR9YiE96unfrKJ0uRt+pqrkXrd08PCmLh4OrVjlt6OYLabpOAvV2A\nKqiq4mL/669p9x8VBVxzDQ69ux5vPNMd083D22og1r3pRd62bqXUqDb69AG++KLWE/7+wN1380IT\nnROef57dpv38kJkJXNhfAPbtZ3T/f/8D/vyTesyAAJKo2rUhmZmUtXbvzvqRa68FFi9mhOLsWUqS\ndu8GNmxgmuHgQaCiAtc0CcJlVS2A1Fr7atmSM9eQIUydtGrFR8uW8hep1dWURH3/PWtc8vLoFjFu\nHGWK//oX5pywAXdOBz7er21DLSkID+fMF3Mpblx5H1K25gLLl/PLnDmTC/hp0ygDM4m+JjOTb0sL\nBXR8PEmTEeRHTmvXysuBX35B/ObN+CoyAxnR6Ugfl4GzTTIQVZmBb8vDEL7uEmBkMmvVevf2ymTD\nHZo14ykVF+urUk9P5wLG35/DySuvcIq45hrXrztzRuUG3TYbIw9TpyKl5VTc+WI11ry2k2Pks89S\nh5SQwLGvXbu6P/v2VdVJISWFn5dcmZrW5M0KdYKAupmx1q1J3tTuV6g2jhxhYEorxMVxuWFWiIFN\nLeardu2YSFJzfrQUeRMlA46Cc2PHcg6QSt60kk0qPtgKAiV7L7/MmfaaaygD6tYNAJD2s3aTidIQ\nI9dSnOTUwLZtrKWpjb59KdFqgKgohvnvuIOmMO+9B8yciRt+/QPDV68CQv0ZTZ49mxmf0FCu6nJy\n7HUh2dkkXgMH2t3paiMmhiHzESPsz1VWAoKAjMwmGDAASN+p6Edgh58fMHgwHy++CBw+TCK3cCG7\nl3/8MYZdPxhr59gAg/G22mjV6nwNRPMWsN16q52IrlhBmedbbwFLlpjCszw1VTsZTXCwceRHdchb\nURH7BixbRols9+68v3r1QtwVVyAiIg6Lv4zH+9/HIj0vBKUrAWhEPm02+ximdj21K5w6ZbcX9/Pj\n7TtrFpPorprKatXjDeDQlpnlZ6+Fe/xxjo8nT9pdMVNTmTE9cYLErn9/vomrrlL8RnjrLRr0LF8u\n/TWlpXxERCh6Kk4hyiatALUMSwCSt1On1Nm3VhCFI4MGaXdMxTNvlZVk0SkplFDn51MWUF5u/1le\nzsHqnnu8lq1rJZkE7NUlmZnqBbwsRd5cSYbktAyoqOB1JLnBsIdo2ZKJEsWQnc1sQWYmsHatwyr9\nBm0CTAQ9ZUenT3OsqX/zd+rEjzsvz8kkfeGFzIr9+9/AsmXYX30ZOr43Dxdc5aANg3jHe6N7O7/6\nio8n/ysp0Uhp1LUr8OCDfJxHdo7xbYVDQ6lWzc2tdb9HRLB2cepUZjOTkphyffJJxyTaINBycgLs\ndW+6jielpbDtPIDReduBST9w3Bs0iBnTl19u0AQpGMBjI4AxdwMrV2qfNTQaeQOoJm7dmiW7d9zh\n/HWKyibdwKFhSUgIg5DnA5F1UFJCWfa331IL2qYNSdz48cyoumKlEpCVRe+av/+WLksUs25aXWOi\nbNIKUDMoJMomzYx16xg31bLyxSvyJggMtCxdyihISgoX7LGxvKE6dKCkKjCQzjuBgVy4BAayTOSd\nd4A337TXsXsAredH0XHSR94kwBV5k9MyQOxPpbZrvqKGJb//Dtx4I90jv/nGaW8gLWUcSkNPzfXW\nrQ3NSgBKaXr2pHLRaU8PPz/glluAW27BonjgxkFQPdrv58eB6sQJfTKVFRVcT5mhdKxVKy5oGwRr\nAgJY+3TddSyeSkxkP7qrr9ZfK+gAWpmViBDr3hz48qiH3bspodi1i7+npGBSUGeUde8DzJwEfPih\npKibaDqqNYxQ93bqFIm3CJuN2bfJkzmFOJN0njnDMVALREVxAS+5P2twMGtVJ0xglG3TJjoG3HQT\nV+oDB1IufsklJPcytfdZWSwnfustigukQOu51kqZN7X6vAEMVGzYoM6+tcKqVcCoUdoe06P1V0EB\n+7e89RYHmmnTGFDp2JGTlZRs2v338w3PmgV88AHw+uuyWVhVFYVBWrTRESGSt4ED1dm/pcibO2Yt\ntWWAFpJJQCHDkqoq4KWX6Nb10UduIxO+zJtncGRWIkI0LXHXkLG6WtvPX2wXoAd5y8lxaYZpKIjk\nzSkJiYtj/7jffqN84/33eb85ygDoCK0akIoQbbc1gSBQvvrss1yQjxpFQn3BBbh9QlPMnQt0HqPR\nuXgBI5C306cbJCQxcCAj+UuW8GN1BC0zb4GBzCqcO+eBAiYggNnypCQGW3Jy6Da7cSPnyq1beaOM\nHk2zpYsvdlvrmJXFEuZ77qGaWkoCXmvyFh1trN6LnqK8XN3An9llk4JALrNihbbHbdmS92NFhYTG\n4AcPUrXy739Ttv7WW3QO9HRBMHo0C+5efZUL+AceYFums2ftfV7FXq8HD3JdHBIChIRACAnB8YwQ\nPFMZgt6lgcDv/owISXkEBDBiNXq0bCcgtXu9WYq8uXNak9oyQAuzEkABw5KMDFaslpdzQqrv1OIA\nZ8/qY/inBGJj6ZGhB7ZtA26/3fH/+vTh/90hN5eTvpOkqOLQs9ebmL02AxISJE7mSUl0/VyyhBH8\nO+/kYGIQ19YTJ7Tt/KEZeSsspJ7v4EHgjz8adD0WWwWYAUYgb6dOOW60+9xzDEDdcUdDV+b8fAYH\ntCJvgN2Aw+txJDKybuuQigrWyP34I92BT5+m0dLEidSQOrifs7O5hhs6lOvRGTPcH1Z18lZYyIs/\nMxPIzUXfvbmo+isXWHC+j15eHovuxNqhsjL776Ghdrma+OjYkZ+VzhE3Meum1mkYUTa5YQPXnVdd\n5X7bI0d4CWvdLNvf3y5nrh/8AcDFxrJlVH6lpHAg2b1b0rpUEoKCWLpw441UxDz5JCPhiYl89OvH\nwF737lxkFRdDKCrGawuKcbi6CG++WAT/gApG0aU+Sks55yxYwGjCqFEkcsnJbuf9du34MagFy5E3\nV7IOqS0DtIqYeZx5y89nJGPxYs4iTz0lWdNvdtmkHgsfQSA3fvttx//v25dJT3fQqmGrCFm93hRG\ndrZ5yJuYeZOEJk0Y8ZsyhfV9iYmUcVx1le6LHi0NSwCSt0OHVD7I/v2UqV56KaVwDgo4nbpNGhCx\nsfT20RP1a95EdO/Oy/jhhykv2rePj717eT/37EkvIq0QE8P5SvEEd5MmTDUOHMg02vHjdCL5xz8o\nb+/Th19UTAwny+hoDE2PQezheDx0XRvMeLYV7rqridvb3evxvqjI/gXs3cvoTEYGJ8GMDC4u4+N5\nkBYt0K6yBY6fbQGUN+eCuWdPLnibNuViNjDQ/nt+Pk0ijh1jRPTYMRb0ne+zV2NGNXCg9P5KCkFN\nySRgd5s0En76iZxn4kT308hPP5FD6DHdiNLJmvHj0CGe+DffcAE+cSJJ1fDh6kWpO3Zk2rGoyHUK\nvHlzLHgGWLYbWP87EOzpZXzXXbzXdu/mh//aa6yH79ePi78+ffjo0aPO/NS+PWsT1YLlyJurzFtQ\nEBUSv/9OV3Nn0FI2mZMjw040J4dFm2+9xbt3/XqHpiSuYHbZpB41b6dP8951dm316sU1ZmWlaw59\n9qy25E2LRpHOkGMCsxIRrVpR9ioLCQnA55/zHhSllG++qdjq9uGHmRSQ412jdUF2fDyNbFXDf/5D\nN9ZXX2WthAOUlzPBYJaAVGws5x894Yy8AcD8+TRcLSri2n/GDK5JOnRQvwa8PjSzvm/fnpH8++5j\nZHfnTh747FkgMxNVe/ZjQul6hD13GoNPnsTWU2dQFh2NoM5teIO2bt2wT2aLFvDbH4HEYAHYWmbP\nfJW5+T0vz07YTp8mo+7Zk4+LL+bqWXyEhdVZOOQeBh4dB1zznBefRUYGW9ds3myXmLZqRSI3fjyz\nlyr3uVDTaRKg90F1NfmrUWqys7OBAwfIo905SK5a5XQ4VBdVVRgUegBNPtkMvHNehpyfz2LZ115j\nWtpLYyDJsNncapcXL+YU8ttvCsQf/PxI1Pr25eRcUMD7ZNcu4NdfOfcfPsyBslcvoGlTJGVVoemm\nKuCaSso4q6qAzp1JbJOSvL74GhV5AygZ3L/fNXnTSjYZFMQgYGEhWxw4RWYmr8T332dodNMmjxeJ\nZs686SU52rbNsVmJiLAwruUPH3bNpbXOvOkpmzRb5m3lSg9fnJzMxd4bb3BxddttHNy9jJB8+SV/\nvvyytO3F3ula3tuqySaLi5nV/PlnOgj26eN00zNn+J61JhaeQi/1gAhBaGhYUhutW9Ow0whw6Dip\nNlq0AIYNq/NUZjpwz/fA1Zv498fvVOLPb0/jg/knGTE5dYqk7+BBFgXl5gLnzuHaA3kIDvEDNp3P\neIlZL1e/h4VR+tWzJxd6MhbDihiWxMUxezJxIv+urCSZ3LiR64/bb2f9yXXX8acKVsZqtx+x2exq\nCyORt1696PjqiryVljL48+9/a3BSYi/XH3+kdHDLFsxHLAqqBgM3DWY/2759DTn4fvghp+TfflNJ\n6h0eDlx+OR8iysrIwPfvByoqEFgagK/X+2PMFH/ex35+DMosXszMXa9eJHLDh1PqIPNesgx5q6zk\npOhsUhKRmOg+Wnz2rHbyELHuzSl5O36cBZpTppBFeOlIYPbMW2am9o2BRadJVxBNS3zkjTBb5s0r\nEtKkCQuob7iBDdm7dWM2bt48jzvKFxTQWOvpp6WN6evXcy7Q8r5QhbytXs10z6BBvPFalEPXAAAg\nAElEQVTcNMkyk2QS0L/mLT+fawijLFpdwShNp+vL+G64JQCPPtkWjye0RYdLLnH6ursnMkMyaZL6\n5whwqCkqkmgoIRUBAXZZ2N138wv59lvWEEyfTgI3fTprBRWC2pk3wC6dNEr7zuxsqvHvv59re2dj\n/oYN5PWqKVmrqpgcWLqU9Wvh4UwYzJsHDBqENxe2RGgo8PjdKh1fASxdykqi9eu1VaKgaVN7dg5A\nqAB8/QCw6Ipay4CJE1knX1rKz3ndOspMd++mRHn4cPbtHTDA7U1sPMrsIU6f5sLY3aCVmEhi7Apa\nySYBCe0C2rdnRO+dd7wmbn/8wcWdWclbcDDvj7w8bY/rymlSRJ8+TMC4gtbkLTaWi7XiYu2OKcJs\nmTdF3McSEihp3raNO+zShWSuoEDWbgSB39tFF1H2IQWvvUaFoZaIjycRqa5WYGeZmcw43HknDWH+\n8x9J3Y3T07VrHK0E9CZvriSTRoNRyFv9gGdoKBPszmqgAXuGU8vx3s+PY66qvd6io3mPrllDqUlS\nEgNVY8a4X1hJhNqZN8B4jpNZWVxDXHSR61KHVavol6EYBIER3u+/Jzlv1YqW/FFRrO/avx944QXK\nZVu21LVdk1Q8+yy7E2hZn+sINpsLx8mgIBK1554jiTt9msw9JweYOZOf/7hxLvuSWIa8SZFMAoy0\nHDzoesGhlWwSkGhaosAMUFhIY8p33tFOlqwGtK57EwS7bNIVxMybK2Rmaitr8/Pj4KFH9s1MmbeY\nGCqdyssV2mH79tRtbNzIya9zZ5ohCIKkl5eUUEU1dy55jLuXbd1Kr4HrrvP+1OVAVHl51e5EEKgV\n6tWLbHDvXi4EJcJsmbfmzfn9lpbqc3wzkTfRsERvOFKr3H03L9uioobbl5aS3FVVae/srGmj7pgY\nLjT37gVGjqQj3H33ed28Vm3DEsB4jpPie542jdeVM3hF3srLKYN8/30WVA8dyhTeJZcA773HNNWG\nDYxCP/mkQxmR0clbZSXdOAcP1vtMCMntApo1I1lbtIiff0oKL4a//3b6kkZH3po14/Wamup8Gy0z\nb163C5CIefN4r06erP6x1ITWketTp0j03bnd9ukjjbxpGYkF9JNOminz5u/P6yo9XeEdd+1KU5O1\na4GPP2ZqTEKaSiykv+IKLg43bnS9/auvAnPmKCiVkgGvpJP79tl7AK1axTcis+2C2cibzcYxQK/s\nm5nIm1EzbwB9CS69lLd3baSns2SuqIjrYJe17CpAl89MjDQdOMDVc/fuDFZVVHi0Oy1lk0aBmG28\n6ioGix2tT9PSSJzcBZJrUFlpN54ZNYoHuOMOe7uVZ55hY8BTp1j0/cgjDDS6gNHJ27FjPEeVPXUk\nw+Neb1FRtMZ/6y2nmzQ68ga4l05qaeqhSKNuN1ixgqUkb7yh7nG0gNbkTZRMuqslat2a9aquzq0x\nkTczZd4AGb3ePEHPntS2b9vGybOqyuXmInnz82OA9B//cL7t33+TG/7f/yl8zhLhEXnbuJHa/xEj\nuFr580/aLnsAM/V4E6GndNKVWYnRoIthiQM4ywTNmkWTOTEzvm0bSzXHjAG++kqf9o9RURpm3hwd\n/O23OdYtX86I5qpVsnfT2GSTxcWM6YWEsDTkuuuATz9tuN1PPzGgV9NPXhBYQ3LwID/zzz9nAGze\nvBqZI+68kxGFmTO5ENi1i6m9uXMZOJP5QRudvO3fb5w6RkDdRt0+8lYPgqCtqYfambfMTN6/n35q\njiJ1d9DarU2KZBIguXMnndS6VQDgy7xJhWJ1b84QEcHZ9/hxNhl1EZWubWE9bRoDL87ObdEi8kGt\nI/wiEhIkZiyrq7mgu/RS9tIaPZph0tmza61G5MNsmTdAf/Lmy7zJg7P1wPDhXC+sX0+yNno0zSae\neko/Az5DfGY9e9Ip9qWXyHDHjSPBkIjGJpus35T8ttso1Kgvl6+RTFZVAZ98wvRv69YMhC1YAPzw\nA5lVQgInhZQUGmG88QaDZApMyEYnbwcOyO6epSrat/eRN7eQ0+PIFXnLz2ctR1CQcufmCmpm3gSB\n9/Ctt1IyaQVoXfO2dat7sxIR7kxL9Mi8dejANbLWMFvmTXXyBrBA7McfWYB69dVOC59qk7dmzWhi\n+e67DbfLymKw9b77VDxnN4iPd5N5Ky1lB/uePSnTue8+NnadOVMRm3EfeZOH06fNRd6ysiSXiqoG\nZ+TNZiM3ueUWdgdZs4a3tZ5QpF2AErDZ2I9JlEYPHUptd26u25c2Ntlk/UzjRRdxDbphg/25ykpg\n7RoBE/x+ZJT4gw9o6lRQwPF0/Xrgiy9ocPHAA7Q4VSEDER5O7lhYqPiuFcH+/cYib2p6DliGvCmV\nedO6D5qambePPiLrX7BAnf3rAS0XPlVV0toEiHBV91ZRwUW51tkoX+ZNGrxuFyAVQUG0YA4K4uLG\ngeNBfn7dTNq99wL//CdlubXx9tusYdWTvDiVTZ4+zaL3du2A//6X+rKtW6kJUtAxyUfe5MFMmTcx\niKq1u3B9uFLi3HwzCdtff7lsR6gZNDUskYLAQLro7d/PQI5YD+fI6eU8tJBNRkdznNXLOKg26mca\nbbaGxiX7P9qMnyuSEfnSQ3R//O039gbTGDab/r0qXcEnmzQh5JC3Cy7gl+wooqel0yQgoVWAh0hJ\nYf3p559z/LQKtFz4rFvHa8qdWYmIvn2dZ97EaKLWcho9yFtpKclqWJi2x/UGmmTeRAQGMmqakEAd\nzLlzdf5dO/MGcL3Tqxfw9df250pKWMv8wAManbMTNCBvf/1FWWiPHhzYfv2Vep/LL1e8CV11NbPZ\nqjRhVRE+8iYdRnCcdCXjCw0FXn9de0WFMxgm81Yf0dGUD6xezRRlmza07Kw3YVZWcvzzsD2mZPj5\nSVANaARHmcabb2Y7veJNO4HJk9HuwWtxLGkaZZATJmjb0LMejCqdrK6mOtdI5E3Ndk2WIG+lpfyA\npA6gkZEcdB0t1rR0mhTPRWnZZGUlb/7HH+caykrQMurz8ceMgEnFBRfQQKJ+NC8jg3XEeiyaYmIY\n5NRS5pCTw+tax/lFNjQlbwCzTx99xMacvXtzQXMe9ckbQHlWbeOSTz7hS/WeqBJiKtH8yBbKdYYM\nYWatf39qdd96i8xTJWRlMUPZtKlqh1AFepG3ykrOb2Yiu0YwLdGyBt5bGC7zVh+9e7On2O7dnMyv\nvJID2QcfAIWFyM0lcfOiDFYyjCKddBQciDu+GT8FTgDGjQUuvRQTuh5G1IO3afPBuIFRydvJk7x2\nJLQH1Qx+foxTuHK393jfyu9Se6SlMQIsJ6vhTDppBdnk/PksJ9GzFkYtaFXzlpfH8qTrr5f+mqZN\n6Q6/bx//3rMHmD6dC+ySEha1aw2xUaSW2Tez1bsBOpA3gAPWwoVcuNx2G/WRRUUOydu4cVzE/vUX\n5bwLFwIPPqjx+QLsFbRhA6U7o0dj4NiWeOTwdJK1Rx6h9fT996sfOoc5JZOAfuQtI4MkRI+WEp7C\nCAYcZiNven9ektC6NZ1djh3jgmXFCqBNGzS9ZQqmN/lUE8ZuFMfJGpmoIAC//EKVwtSpaDJxLCb2\n/BtZt8zDrsPBuOQSvc+UMCp5M5pkUoRa0klLkLeTJ6WblYhwRt70kE0qmXn75BPgyy/50MvxSk3E\nxnJcV7uI/euv6WQud9Lu04f1SSNHsrVKp05sGvnOO25bqKiGDh20JW9mq3cD7K0CdDFHGDmSkej8\nfKBfPzQ/8EcD8ubvD9xzD7Nv33/Pz1cTEyJBYBRi0SLaT0dF0SEyKwuYORMVB/9Gb9seVL+5hFF0\nBevZ3MGMbQIA/WpGzGRWIkJvMlJeTiWFWZyaDSubdAZ/f0amvv8e2L8fZ/qMxJjy7xkFHTSIJkdb\nt0rqjykXRnGczM4S0P/sT3Tivesu4KabgCNH0GPJTOw8GIT33gOSk41T/mJk8mYksxIRapE37WZa\nFZGaKr3eTURiIrBjR8Pn9ZBN5uZyjeStzGz9euChh/hTSwKqJYKDOYjl5akb3P/4Y36WcpGcDCxZ\nwvXt1KnGkHRpXfcmyibNhPBw8o5z54AWLXQ4gRYt2M9j2TLceNMkHD1zGzDv6ToX0PTpDAbs2sWg\ntSqy1KIiFg7s3s2izzVr2IDoiiuA228H/v3vOl9uU1Cmooccz8yZNz0WP2ardwP0J29iIMosEvCo\nKJ6zEusJzREfj/0X344P99+OYUvL2Q9y5UraeZ44wUWe+Gjdmj9jYhj0ysnhG8/JsT+6daN0ZtAg\nhx9G69b6mHnVQBCAdetw93+eQkxgLrDwKTZmPi+NDASdhhcsYAsKoyAuDtiyRe+zaIgDB+jUaTT4\nyJsLyDErEZGYSDOP+sjK0jb1GhhIR638fO+0uocOkSx88YUxU8dKQoz8qEXejhzhY8wY+a+dPp0P\nI0Fr8qZFnx41IEondSFvIiZPxqNjL8Ujx2ewcfVHHwGDBwPgIvLaa8mpJk1S4FhpaTQT2b+fM9+B\nA0xrd+nCYtnLLmPku2NHl7uJjyeR8pE3aWjRghy5rEzb4I4ZyVtMDOd3vWAmySRQ16FTA+Wy4qiZ\nOwIDgWHD+Hj1VS6Q0tJ4MZw8yd83byazb9aML4qMJGGLjOSb37qVRetlZVwcTZ3KmrvzRK51a/JD\nXfDbb3TjzcjAtwnz0eu5KRg7oWE922230ah39GgdztEJjJx5u/VWvc+iIdq3Z4tXpWEZ8ta3r7zX\niLLJ+hEqrWveAHvdm6fkLSuLyoMXXmBLFatDrBlRywvh009pmGem2hBXaN+etVJawYyZN8BO3nr2\n1Pc80spjsOOJb9C2YilZ2tSpwHPPAaGheP55khav6tazsoAXX2R6edw4vuFhwzgotm8ve+ei46Tc\nMdhbpKe75ZWGhJ+f3YhDbtDRG5w6xe/KTIiOBrZt0+/4ZiNvgN20xIzkzWmPt2bNOD7J0cWNG0eJ\nwq5drCOZOJHSnYkTgbZt0Ss3FmsOxAJHYslIwsLUTVeePElZ1Cef2Gv9brgB3wwJQLITs72+fYFN\nm4w1zhmRvAlC46t5swx5mzBB3muio7lGOXOGF6MIrWWTgL3urUMH+a8tLQWuuooReaNlfNSCmgX/\n1dUcW3/4QZ396wGtG3WbOfNmBOvo/HygWYQNGHYtSdWcOYwY//OfiB4+3PPgUkEBa9f+8Q9gyhRg\n715FUldOe72pjPR0XVodKQJxDNOavA0bpt3xlIARZJNmI29i3ZteNdbeQPHP22YjA+rblwGrzZvZ\nrmDPHrQ9tgb/d/QMMDqDN6MgkCV16dLwER8vn9ilpZGsrV9PI5KCAtZV3Hwz9ZDno8PumpJffLGn\nb14dGJG8ZWQwWWvEe9VH3lzAE8MSwJ59q03etDYsATzv9SYILENJSACef1758zIq1CRvv/zCgbR3\nb3X2rwf0qHkzUqRQKnRxnHSAOm6TUVGsM/vxR2pCxowBXn5ZnraztJSOOS+9RHOUv/5S9AvSk7yZ\nUTYJ6OM46TMskQ93C2sjwvDtAlwgO1tF0mmzkQmdZ0NNKoBLQoHiQ+d9lgoK2CBXrJvYuJHqhMOH\n6VzTp4+dCPbpQ2l506bUqIqy8/37+di7l9ro5GQ+5s7lgtMBATRbsFMcu6qrjWOKZ1SzEoBj7pkz\n7H2rpJrLEuTNE8MSwN6su7bUUI/Mm6ftAhYs4Fjzyy/GuYm0gJqRH7m93cyAqCh7L0QtXNPMNhmJ\naNWKc67ecPg9jRvHk3voIZ5o586szh44kD979eLMUFLC7XbsYAPcHTvoFjliBM1HevVS/Hzj4/X5\n3HzkTR7MWPNmBPJmxGi+K+j9mXkDLT/vJk04T505c/6+CA+3k7P6OHuW8sudO1l0vGgR26JERLCJ\navfudlnnXXdxcdmpk9uFWUUFGzgbqTeZOzRtSoVpbq5x5nmjSiYBXmdxcUzEeqKucwbTk7f8fPY9\n8kTfXb9dQFkZF7la30ietgtYsgT480/KuBsTYmPVqeHKz2e7mUWLlN+3nrDZmH07cUKVtXsDmLnm\nTY3CYrlwSrIjIoD33mMF++7dtPzavJl/Hz9u73fQtSvNTvr2Zb1cnz6qDmoJCcDPPyu7z/Jy19bY\nguAjb3JhZvKml3tiVhZlT2aC6doF1ILWgT+xUbfb+yI6mv3XLr/c/lxpKS8QuU2GayEnhyIKswXf\nxQC6kcibUTNvgF06aTjyZrPZRgN4Hewb96EgCC872OZNAGMAFAGYJgjCTiWOLTpNejKwJyYCy5bZ\n/xajPlpPEp5k3qqrGfnQsmbCKFBr4bN0KRUOVmyzINa9aUXejDKoy4HIffSG2wxp06bMttX2RS4o\noAShc2fN+1MoLZs8cgRISuKiypl3SkEBFzzh4codV0vExvLr0goFBUBlpbki/IC9NYy3bsyeIjsb\n6N9f++N6A7Nn3rScO7ySygcFkf15ATPKcgE7eevRQ+8zIQ4cAK65Ru+zcA416t685vs2m80PwBIA\nowD0AHC9zWbrXm+bMQA6CYLQBcBdAN719rgiPGkTIKJ+5k0PySTgWeatoIATm1UcEeVALfJmRcmk\nCC3r3szYpBswRs1bWRmVBEFBMl8YHm6vwdAYSpO3r7/mwmDPHufbmDnrBmifeROzbqbr/QV9yYgZ\nZZNmz7xp+XmLmTe9YNYSA6OZlhg98yYqn5SEEsnagQCOCIJwQhCECgBfAphYb5uJAD4FAEEQ/gQQ\nYbPZFOkK5KlZCcDJv7zcPtDp0SYA8MywJDfXnAtkJaDGwJGSwt7EY8cqu1+jQEvyZtbMW2wsJ9OK\nCv3OoaCAWTczLbJjY2l7X1WlzP6WLuVE/NtvzrfxkTd5MKNkUoSPvMmDWQ1LRDWRlusaI5A3s11f\ngLHIW1YW1/G1jQeNhnbtlF9/KUHeWgGo3UYz7fxzrrY55WAbj+BN5s1m4yLhwAH+rYfTJMCFrtzM\nm6iVbowQF4uCoNw+P/2U7r2u6mzMjPbttWkXUFzM78WMdZgBAWwKnJ6u3zloZSqjJAIDORYpscBO\nSWEW76GH3JM3I0/W7iCOYVrBjE6TInzkTR7MmnnLywNCQrRVE+mttvBl3rzHgQNOjTwNAzVkk4Y0\nLHn66adrfk9OTkZycrLTbVNTWR/hKUTpZFKSvrJJX+ZNOsQ6iLw8ZRqRir3dvv3W+30ZFW3aMNCh\nNsSsm5EHUlcQe715ms33FmYkb4BdOuktoVq6FJg8mf3IHnzQuVGF2TNvMTHakjczZ95iYvQjI2Zc\nXJs186ZHFkrvzJuZa95cydq1hNElk4A88rZ+/XqsX7/e7XZKkLdTAGovdVqff67+Nm3cbFOD2uTN\nHbzJvAF16970kk16YljSmDNvgF12pAR5W7OGxfCOHIKtgrZttSFvZq13E6F3JNbs5M1bc4elS9nG\nrm1bRuEPHaILd32Ynby1bMkAXFWVc1MWqTh3ju1iJk1yvs2pU3QuNyOio7UluiJE92mz3Y9mNSzR\ngyjrTd6ys81pkGakzJuR2wSIaNuW15mU3nj1E1bPPPOMw+2UkE1uAdDZZrO1s9lsgQCmAlheb5vl\nAG4BAJvNNhjAOUEQFFH8K0ne9JJNemJY0pgzb4Byg8epU2x0/swz5s0WSUFsLBd5ZWXqHses9W4i\nfOTNM8THey83PXaM0UlRSZGU5Fw6aXbyFhDAwJMnLWJEVFcD//oXFy433OBaFm3mzJteZEQkE2ab\nF5o1I+lUe6xXGnpIVMXxXskSDDkwY2YXMB55M3rmLTiYCQIlPzOvyZsgCFUA7gXwM4B9AL4UBOGA\nzWa7y2az3Xl+m5UAjtlstqMA3gNwt7fH5X7JZpXMvOklmzx3jpOxVPgyb94X/BcVARMmAPfcA1x1\nlTLnZVT4+TE7onaU0Zd58w5mJW9KOE5+8w2zRwHn9SCuyFtGhrnJG+CddHLrVmDIELb9++EHuuR+\n9ZXz7X3kTT7MWO8GkGxGRZlPOqkHkQkJ4cObIIo3MLNs0ijkTax5MzqUrntTpOZNEIRVALrVe+69\nen/fq8SxauP0aS50QkM930ebNnR4y83VL/MWEMD3kJcnnZD5Mm/eDR7V1cBNNwG9ewMPP6zceRkZ\nYt2bVPnUZ59xYRgTw/ui9qNjR8dBE7Nn3hISgH379Du+6DZpNiQkADu97Ny5dCnw7LP2v5OSmBF3\nVPdm9swb4Bl5y8oCHn8cWL4cePFF4JZbGJgpLARmzwYeecTx63yGJfJh1qwIYDctMdN3rheREaWT\nehB1s15jLVsy4VBRoW+7qrw8nocZ+h2L5O3ii5XZn8n6utfFwYPea11tNu7jwAH9at4A+aYljT3z\n5m2k/5FH+Bm+/775ZDGeok0beY2Bv/ySWu3OnWnFu3Mn8J//AE88AfTrB9x6a0Opli/z5h0aa+Yt\nNRU4ehSo7U3VpQsXB46ilY2RvP3yC1v5BQdzvpo2zV4/cemlnL9E5+TaqKqiSsGsn5dehiVmzbwB\n5jQt0cs2X88x36ytAvz9eY1p2e7EEQ4cYE20uzoyIyAuTtnaXRO8ZecQvzhvIbYL0Es2CchvF5Cb\n27jJmzeFxh98QGfJZcus2xrAEeQ6Tp44wezk7NnAc89RorVsGfD777R0b98eGDAAuPdeexY0J8dH\n3rxBYyVv33xD6XLtKK7N5lg6WVrKTJOZrzNAvhHHsmXA/fcDr7/e0KjJ3x+47jrH0snMTG5v1rFO\nL8MSs5M3s5mW6JWF0tO0xKyZN0AZqby3MItkElBeymxq8nbwoHLkbe9eEiK9biRPMm9mX7x4A08H\n3HXrKDv64QfzDpqeQo7jpCCQvLVr5/j/ERGUtB08yEVhjx7Ao48Cf/9t7s9VbBWgVwF7YyVvS5cC\n11zT8HlH5C0jgzWvZoi2uoLcjFJGhvP7EQCmTiV5q3/tmrneDbATEa3vSTOTNzP2etNbNqk19GhK\nriSMQN7MYFYiwkfeakFJ8rZxIxAerp9+15d5kwdPBtzDh4Hrr6ccsFs399tbDXIyb7m5jOa7a8UQ\nHQ0sWkRJZVYW8P33XJSaFc2aMeOTn6/P8c1K3mJj+f1XVMh/bVoax/Lhwxv+zxF5s4JkEpAvmzxz\nhp+zMwwcyKzk7t11nzc7eQsJ4VhUWKjtcc2cFdFbNikI8gzYgMYnmzx3DggLsxs0mQ16q1QAc7QJ\nEOEjb7WgRM0bQPK2fbu+UTa55K2xZ948sfi96SYaIgwbpt55GRlyyJurrJuzff/zn6xdGjvWs/Mz\nCvSclMxK3gICPK+BWLaMrq+OZH09e3LCq92GwEfeHMNmA6ZMYXCqNsxsViJCDxmgL/PmOV57TZ4R\nWFkZsGOHPlkUvTJvZq13E+HLvMmDj7ydR34+IxetW3u/r3btuHDQs1mi3MmpsWfeQkOBoCDpUlNB\nAPbsAW68Ud3zMjLUJG8iEhLMG0kU4SNvnsHTz23pUuDaax3/z8+PZhy//25/zgptAgD55C0jg0Xv\nrjB1Kslb7aDWqVO8L80MPUxLzEze9M68paQAn39OsxwpWLMG6NXL/fWtBvQkb2bN7AL6Z96KihjQ\n6tBBv3OQA7kJGncwLXk7dAjo2lWZugd/f8ov9Ryo5UzkFRVAcbF5F3lKQc6gm5VF+Y03bSXMjshI\nRjgLCtxve/y4Z+TNCvCRN8/gSSQ2PZ1Blcsvd75NUlJd8tYYM2+lpXy4kzH36QM0bQps2WJ/zuyy\nSUAf0xIzkze9M28ZGXxs2CBt+2++Aa6+Wt1zcga9xnuz9ngToXfm7dAhOhKbJVjsy7ydh1L1biIS\nE82TeTt3joYRZi/Y9xZyyNvJk+boBaImbDbppiWeZt6sgIQEH3nzBJ58bsuWAePHk3A4Q/26t8ZI\n3s6c4fbu2po4kk5ahbxpTUbMnBnRO/OWng5ceWVDCa8jVFSwb+HkyeqflyM0bw5UVmpf52x22aSS\npNcTMyIz1bsBHEuyspQzXjLt8l+pejcRl1yir3ZWzuTU2OvdRMgZPFJTfeQNkC6dbMzkzZd58wyi\nU6ccuJJMiujXj/0ERYm0VchbRARQUsKMmjucOSNdUjZlCl0nRcMIH3nzDGbOvOndKiAjA7jvPmbU\nKitdb/vrr0DHjgws6gGbjYFgrcd8MwcHAOWCnIWFwKBBvA7kwExtAgD252zSRDnjJdOSN6V6vImY\nOROYN0+5/cmFnChsY693E+HLvMmHHPLWvr3qp2NI6E3ewsP1Oba3kDuZnzlDk4KRI11v16QJMHgw\nHYEBkjc9amOUhs0mvZZLbI8gBYmJJB2iZM1H3uSjtJQSc7Peiy1bMtgh1/FRCQgC7+0hQ1iPtG6d\n6+31lEyK0GPMN7tsUizDKCryfB+CANx+O5Mx4vguFWYyKxGhpHTStORNadmk3vBl3uRDLnnTK7Jn\nJPgyb+7hSQZJCVRVsZY1LEz7YysBuZ/bt9/SmTQoyP22taWTVsm8AdLJmzunyfoQe74VFZGImH2+\n0NqwRJS0uZOpGhVNmpB4yukdqxRyc5llCAqyG+g4Q1UVxwG9yZsepiVmz7zZbN7Xvb32GlUVixY1\nbHHiDmaTTQI+8oaKCn7hXbrofSbKITKSUXcpfZJ8mTdCzoDrk00Sbdrws3CFwkKSCD1rQPWEXpm3\nwkIa6pi1llXuRL5lC3DZZdK2FclbVRUnPzlExsiQasQhRzYJUDq5dCnv9YQE85IQEVpn3sy+sAZ4\nvWRkaH/c2q6o117L3p9lZY633bSJ93LnztqdnyPoRd7MKssV4Q15W70aWLyYmdeBA+WRt7IyBpjN\nxgEaPXk7dowLLCkRW7PAz89e0OgOvswbIWeR7ZNNElIybydOMEtp9gWfp4iL433orlZDaZi53g2Q\nT3pTU6VndwcOBPbtA/7+m4GrJk08O0ejQapcXo5sEmANUbt2wL//bX7JJKC926SZ691ExMfX7Y+o\nFWqTt9atgR49gJ9/drytESSTgD4BOysECDz93I4dA26+GfjiC65Junfnc1Lqf9xvJhEAACAASURB\nVAHg8GGWdTjqDWpkNHrypnS9m1EgNbroy7wRPtmkfEhxm2zMkkmA1sNRUdpHrc1O3lq0kFcDIec6\nCwoC+venxMoqkklAOnmTK5sEKFl7913rkDctM28+8uY56suanUknBYFus0Ygb3pk3sxe8wZ4lnkr\nLgYmTQIee8yuvAgMZPb1wAFp+9i1i21RzIZGT96sVu8mQupE7su8EaLFr7u+ZZWVXIhbYRHjLcTM\nmyu72sZO3gB9IrFmJ29yaiAEQX5AJSmJdVyNlbzJNWm57jrOFVYY95Qkb5WVwLRpruXjVsiKGCHz\nBpCc/fgjF+21sWULe68awXTCV/PmGeTOk4IA3HEH0Ls3MGtW3f/17i1dOrlzJ9C3r/TjGgU+8mZR\n8ubLvMmDVIvf9HTeNFaRWnmDsDD21HJVyO4jb/r0ejM7eQOkk7fMTNb3hYZK33dSErB9e+Mkb3Jl\nkwDHxqFD+Z2YHaGhHO/dBeqkYNEi4JNPgB9+cL6NL/PmOeqTt9hY4KKLgJUr624nSiaNIM/XOlgn\nCNYgb3LnyddfZ3btvfcafu9yyNuOHWwhYzb4yFsjJ2++zJsdrVq5j5j56t3qwl3dW2NuEyDCl3nz\nDFI/Nzn1biIuvhjw97dGmwARasomAeCf/2RtidkhZnW9JSMHDgCvvAIsWODawt4K5C0uzhiySaCh\ndFIQjFPvBvA+PHdOes2VtygspDw/OFib46kFOQ7Dx48Dzz9P6buj992rlzTyJgg+8gaYkLwJgvIN\nuo0CqRO5L/NmhxS5g6/erS7cOU76Mm8+8uYppGbeRFMcOQgPZ91bY8u8iY28mzeXv/9u3XgMK8Db\nbHhVFTB9Oonb9OnA+vXO+6BZgbzFx+vvNili0iS6C4qZ0z17+H0YZQHu56etO6cVsm6AvHly714a\nTzlbW/TuzevCHU6epHrIjI7DUVH87pWA6cjbmTOMWFjhwq8PX+ZNPqSQN1+bgLpwZ1py/LiPvOnR\n680K5E3NzBsAzJ8PjB4t/3VGhRTyJmbdjCAv0xPe9pR6/XUa38yYwes0Ksp5pN8Ki2s9ZZP1AyyR\nkZTwLl/Ov40kmRQRF8d7TQl88IHrcdAKbQIAezbcVQ29iJQUuuA6Q6tWQHm5++/ArFk3oJFn3qwq\nmQR8NW+eQErNm082WReuZJNlZZxYrFAn4w28XSh6AiuQNzUzbwAwbhzQtav81xkV4pjvavHjqWTS\navDmnjx0CHjxRS6qxT6Kw4c7l05aJfOml2zSkbR5yhS7dNJIkkkRsbHKZN4EAXjqKeC775xvY4Xg\nAED5Y0iItGzS338DnTo5/7/NJi37ZlazEkB6OzAp8JE3A0FKFFYQfJm32pBa8+aTTdrhirydPMlF\nkr+/tudkNGhtTQ5Yg7ypnXmzGkJCeK8VFjrfxkfeCE/JmyiXnD+/7uLR6uStWTO+d1fXltIoK6M0\n0tH6ZOJE4LffgM2bGYAeNEi785KC2FhlMm8nT5LAbtjgfBsrtAkQIfW+dJd5A6TVvZk589ayJYmu\nlEylO5iSvFmx3g2QtmAsKWGEwuyFrkpBas2bL/Nmhyvy5qt3I3zkzTOonXmzItwF7RzVEDVGeEre\n3nyTBPmee+o+n5wM/P47UFHR8DVWIG82m/bZNzHQ4OdgZdmsGXD55cDtt7MGztE2ekIp2eTmzUDP\nnry2nC3SrZJ5A6QH7Nxl3gBpmTczk7fAQAbs8vK835fBbh/3sGqDbkDagtGXdasLX82bfLgyLPE5\nTRLR0VzAKREhkworkTd3n5sv82aHO/Lmy7wRnpC3I0focPfRRw3JQlQUx7pt2+o+X1rK2puwMK9O\n1xDQmry5CzRMmQLs3288ySSgnGzyjz+AG29k1vPECcfbWKXmDZB2X1ZXA8eOAR06uN7OXbuAnBxm\nbd1l8IwMpereTEferCybjIyk5MBRJFCEr96tLqKjueh1ZvFbWsooh2/xY0fr1hxsq6oa/s+XeSOa\nNmV2+9w57Y5pBfIWEsLPzVUfwaIiPqKjtTsvI8NH3qRBLnmrrqZc8okngM6dHW/jSDopLqyNZKbh\nKYxG3saP53cydKh25yQVSskmN29mW5NLL3UunWxsmbf0dLrluuvr2aMHEzSVlY7/v3Mn0KeP8bK2\nctAoyVtRETNTVl1c+vmRwLn6Yn2Zt7rw8+ME5WxST0vj4GLmm11pNG3Ka8jRROVzmrRDa+mkFcgb\n4N6pMzWVkkkrLI6VgE82KQ1Ss7oi1q1jMHTWLOfbOCJvVpBMitC615ujHm+1ERICfPghHcONBiVk\nk2VlzBwNGOCavFmt5s0deZNS7wYw252QwIy5I5jZrEREoyRvhw8DXbpY20whJsb1gtGXeWsIV9JJ\nn2TSMZzVvfkyb3b4yJtncDeZ++rd6sKXeZOG0FAGnqRmw//+m4toV+uFpCRmSmorN6xE3oyWeTMy\nlJBN7tjB3oqhoe4zb1a5xqS01ZFS7ybCVd2bmevdRDRK8mblejcR0dGuJ3Jf5q0hXJE3n1mJY/jI\nm3u4C6QojYICa5A3KZk33zVmh4+8SYcc6aSY4XWFiAhKtTZvtj9nJUmbj7xJhxKyyT/+AAYP5u99\n+vAadGSjb6VrTIpsUmrmDXBd9+Yjb3aYirxZud5NhLtovy/z1hCuer352gQ4hiPyVlXFhZGP7BLu\nAilKw5d5a5xwFyQw84JYacghb1IDd/Wlk1bLvClhwiEV7mSTRkZEBI1qios934dY7wZQGjp4MLBp\nU8PtrCabVDrz5oi8lZRwP4mJ8s/RSLA0eXP2xhoDeXM3kfsybw3hqtebL/PmGI4cJ0+f5oTStKk+\n52Q0aCmbFASSt/BwbY6nJtxN5r7MW124yryVlHBBGRGh7TkZFUpn3gDrkzdf5k0abDbvs2+bN9sz\nb4Bz6aSVMm+xsVyXujLak5N5c9brbe9eoGtX869PLE3e3njD8fONgby5i/b7Mm8N4at5k4+2bRtm\n3nxtAupCS/JWUsIeME2aaHM8NeFORuPLvNWFqzH/zBmSO5+5C6FG5u2SS2iEIDaz9pE3z2Fm8gZ4\nR95On6apXm1nU0fkrayMARkrBOoA1pRGR7vO8MrJvHXsyHuwfi80K5iVABxbHElp5cKQ5O2ddxp+\ncVVVwNGjLAa1MtwtGH2Zt4ZwJ5v0kbeGcCSb9DlN1oWWNW9WkUwCvsybXLjKvJl9Maw0pJK36moG\n9KSM/SEhwIUX2hfZVsqKREVxbCkvV/9YgmD+69Ubx0kx61Y70DJoELBrF4NzIsTry0oBGVcBu4IC\nklqpdbv+/qxD3bu37vNWqHcDLJ55GzMGeOutus8dP85JLiREl1PSDO6K132Zt4ZwZ1jii/I3hCPy\n5jMrqQsta96sRN5cTeSVlVx8t26t7TkZGWIktrq64f98ZiV1IZW8nT3LzEZwsLT91pZOWinz5ufH\nNYWndW/p6WxynpjYcDFdH+fOAUFB0j9zI8Ibx8naZiUiQkNJRLZssT9npXo3Ea7qnP/+m9k0OWTV\nUd2bj7zVhSHJ26OPAq+/TrYuojFIJgFf5s0TxMVxkV2/sWNeHjO2zZvrc15GRnw8B5DaEVkfeasL\nLWWTViJvsbG8thw1Wk1P5+caGKj9eRkVTZrwu3fU2NxH3upCKnmTWu8mwqrkDZAvnayuBtasAa65\nhqRN/Cyd2d6LSE83d9YN8E42WduspDbqSyetlNkV4cphWE69m4j6dW9VVWwf0KeP5+doFFiavCUm\nApddBrz3nv25xkLefH3e5KNJE94Q9SNmomTSSvIEpeDvz4m2drTMR97qwkfePENAgPMaCF+9m2M4\nU1z4yFtdSGkIDMiXyw8aBBw6xPnVauRNaqPuyv9v7+6DLKvrO49/vk07z4/SD9MPI6KMI8wM0Gio\nGGFteYhJxGhqK1a5pBLNVq3ZuLVbRjdBnTWTXdeFCmaJWruRDRJCRSvRWhZWrCAsaYKgJAjyND0P\nIswg84jMMMPMMEMzv/3jdw99+vY5555zz7197/n1+1U11d23b3efvnP63t/nfL+/329Kuv56PzXl\n05+WrrjC/71+7WvS+9/vKx9Z9u2r7kqTkWbbJk+d8o/PL/zC7M8lhbeQzi8pu9uiyHy3SP1ebzt3\n+ufBEBZuWr3aP8+89lq579OV4U2SPvtZ6Utfmt48c3JSOvfczh7TXMizYAmVt9mS5r3RMpmtvnWS\n8DZTFN6ca//PCim8SekVEua7JUsLb1WfQ9Rq0dL3SS2mcUUrbwsWSL/0S9J994VXGclbebv7bumm\nm6Rbb/VB5Pd+b/o5aWzMLxiRJYRztdm2yccf99WlpOfwSy7x2wVEg/XQzi8puyLebOXtiSemX3tD\nWaxE8hc3V6zwbcZldG14Gxvz/26+2X88Xypvq1f7Va+Sll09fdr/h9MGOFvSvDcWK8kWX3HSOQbW\n9RYt8v/qF09qh9DCW9qVWCpvyai85bNwof87adR21Mxz/2WXSXfe6V97ly1r/hi7Td7wtn27r7bV\nL7oh+UrIk08mt0JHqrzHW6TZtsn6LQLi+vt9qI3mDIY4563Vlbczz/RzVnft8h+HMt8tkrd18ic/\nSf9c14Y3Sfrc56TrrvNPpvMlvPX0+BM36T/2yBH/otLbO/fH1e2S9npjm4Bs8crbwYN+MaCQBi2t\nMFetk6GFNypvxaS1yxPeZssz762Z5/7LLpNuu80PrEJqtc8b3nbskNatS/7cihX+++zYkf71IVTe\nmm2b/MEPkue7ReKtkyG2Tba68ibNnPc2H8Obc9nVxq4Ob+96l0/sf/7nvuQ8MNDpI5obaa2TL77I\nfLc0VN6Ki4c3tglIRnhrDpW3YmibzC9PeGumZX5szFeWQquKRK2mjezc6TdBTtOodTKEc7XZtsms\nyps0O7yFdo6lPd9PTfm/xWb2j43mvTkXVtuklC+8HTjgO3/SlApvZrbazL5nZtvN7C4zS5xOaGY3\nmdl+M0vYNz3b5s3S5z/v57uFdDUsS9qAkflu6ZjzVlw8vDHfLdlc7fUWWnij8lZM2gU7Km+zZa1s\nF2mm8tbb6xdKC60q0orKm+QHz1nhLYS2yRUrfKfX8eP5v+bAAX9hPWsP4ksvle6/3weRENsmV670\nQe3o0Zm3P/ecf/5auLD494y2C4j+1oeHyx9nt8gT3qItFtKUrbxdI+ke59x6SfdK+kzK/W6W9L5m\nfsD4uH/SmA8tk5G0ASOVt3RJlTfaJrOtXesfI4nwlqYVe72dPi0980z2fY4c8T3+oUgaYDtH5S1N\nUuXt+HG/il0IK6y1UqPK26lTfmDUTJC4/PLwwnKe8HbihL9QkPUaMDaWveJkCJU3s+Ktkz/8oV+t\ntCdjNP2Wt/jusV27wqy8mSU/5zcz3y0ShbdHH/UZIKTiTZ7w9vTT2Y9d2fD2QUm31N6/RdKHku7k\nnPu+pEPN/AAz6etflz75yeYOsIrSBoxU3tLVhzfn/MeEt3TxBUsIb8nKtk0ePy795m9K73xn9qqV\nIVbe6ivhhw/7AQ4LLs2WFN6iqltIg5ZWaBTenn/eD8CbmRv+8Y9LX/5y88fWjQYH/XNY1tLkTz8t\nnX129mMWVd7SnsdCCG9S8dbJpM2565lNt06GOOdNSm6dbHa+m+Qrmc8+6x/fkOa7Sf7//+c/z75P\no8eubHgbcM7tlyTn3D5JbZmV9va3+8mL8wWVt+KiF/ToheXgQb/4xpIlnT2ubtbX58PF8eOEtzRl\nwtvevb4Na+lSv69e1oAztPCWdBWWqlu6rPCGmRqFtzLt8gsX+r/5kCxY4Ku3WVf6d+7MbpmUfAXP\nLPmxP3XKP4eFUFEquuJk2ubc9eLhLYTHqV7S32WZytuCBf6c/OY3wwxvedomS1XezOxuM3s89u+J\n2ttfT7j7HOyIFD7mvBW3eLEPa9EfBC2TjZn5iuVzz/mBdTOTikPX7Jy3xx7zrTQf+pB0yy3+4lO0\nVHSS0MLb6tV+j8743BHmu6UjvOXXKLzx3D9bo426d+zIXqxE8q8Xaa2T+/f7czirdbAqirRNTk1J\nDz8sXXxx4/teeqk0MeGf60PsPmh15U3yrZPPPBPWYiVS/rbJrMeuYWOBc+7KtM/VFiEZdM7tN7M1\nkkrODvG2bNny+vvj4+MaHx9vxbetjKzVJkMst7dK1DrZ389Kk3lFi5aw2mSyZua83Xmn9LGPSV/9\nqvThD/vbNm704e19KTN/QwtvZtOD7HPO8bdR3U23apXf3/PUKX/FWQqnDa3V2ll5C1U07y1tELxj\nR74AErVOXnXVzNtDOleLtE0++aR/Dc3TEXX++T7crFzpOzFCMzzsxxFxZSpvkn/MbrutcVW4arLC\n28TEhCYmJvTYY9Ltt6d/j7I7ht0h6aOSrpP0O5IyfpSs9q+heHibj9Ku9h861Pjq2HwWhbexMcJb\nXmvX+uV4T5+mJTdJkbZJ56SvfEW69lrpjjtmzoPYuFF68MH0rw0tvEnT896i8LZ7N4PqND09/lx7\n4YXpVdWovCUbHPSP09RU8hyt3bulDRvm/ri6WaNFS3bulH7rtxp/nwsvlL797dm3h7DSZGRwUNq6\nNd99G20RENfb69sro42nQzMyIj3wwPTHzpWvvL3znf5faGE3K7yNj4/r4ovHde210vXXSzfc8CeJ\n9ytb5L5O0pVmtl3S5ZKulSQzGzKz70R3MrNvSHpQ0tvMbLeZfazkzw1a2oCROW/Z4mV7rr7ms3at\n78M/6ywWRkhSJLx9+cvSjTf6kFb/gh5V3tKEGN7q571RectW3zpJeEvW2+vnDKVVxHnun61ReMvT\nNiml7/UWUuWtSNtko825611ySZjz3aTZFfFDtSUKy0z1ee97pbvuKndc3ahR2+Qzz/hpLFmhtVR4\nc8696Jy7wjm33jn3y865w7Xb9zrnrord718554adcwudc29yzt1c5ueGjtUmmxNfcZJ5D/m86U3T\n4Q2zReEta6XIyMSEtGVL8tzBDRv81dy0Fd9CDG/1K05SectWH95CGhC3WlbrJM/9s2WFtyNH/P5c\nefbRWrfOn5cvvTTz9r17wzlXi7RNFqm8SX4O9K/9WnPH1e3q57xFVbcyF4XNsjeqrqpVq/zf3NRU\n8ufzVCwDmF4antWr/fyHV1+deTuVt2zx8EbbZD5r1/oBI+Et2eLFfg7SkSON75tVWVqxwgfBpP3e\nTp70oS60Fykqb8XUX7Sj8pYuK7xReZttaCg9kEQrTeYZZJ9xhl986bHHZt6+b19YbZN5Km8//7n/\nvc87L//3Pv98afPm5o+tm0UXCE6f9h+Xne8WsmjLnBdfTP58nseO8NaFenp8ab2+rErlLVt9eOMF\nvLEo4LLSZLq8rZONVuxMa508etSHu9DaVuOVt5Mn/QtVKFfn24G2yfyS9hGU/N/SyZO8TtbLqrzl\n2SYgLql1MqQqcd62yR//2M8BDG0+VrMWLfKvY9G4tex8t9BltU5SeauwpKWjqbxli8r2U1P+yTdP\nG8h8F4U3KiLp8oS3o0f90vhZq8GmhbcQWyalmdWR557zf58MdNIltU0S3pKlVd6ii3ahXQgpKyu8\n5Z3vFolWnIwLqW1y+XI/hjh2LPt+27ZJ5547N8dUFfHWSSpv2bLCG5W3CqsfMJ465a8oLl/euWPq\ndtGeZXv2+MfvDW/o9BF1v5Ur/TlFeEuXZ6+3aAPqrEHjfAtv8Rdy5rs1Fg9vx4/7tvmVKzt7TN0q\nK7zRLj9btM9b0tzdZsJb/V5vIbVNmuVrndy2TXr72+fmmKoi/ndJ5S0blbdA1c9/OHTI98hyRTHd\nihW+5TTaewX5fP7zPlggWZ693vLM59q0yW/LUC/U8Ba9kDvHfLc84uEtapnk+T5ZWnjjIkGyZcv8\nKp31C41IxdsmN23yweXUKf+xc2G1TUr5WiepvM1G5S2/tPB2+rTfL4/wVlH1V/uZ75bP6KhfvpcX\n8Pw+/Wn/4o5kedom84ST9ev9C9rJkzNvDzW8LVniF3w5dIhBdR7x8EbLZLb6xXAiVN7SJbVOOle8\n8rZkiXT22dLkpP/48GE/32nx4tYda6flWXFycpLKW73oosrJk/7x428xXV+fX/Sm3vPP+7H+kiXZ\nX09461L1A0bmu+UzMuLDG08aaJVWhbdFi/yCJjt2zLw9WrAkRNHCElTeGotfsNu/P6xKRqtReSsu\nKbxFg8eie4+NjU23ToZWdZMat00ePeovSjHOmCmqvO3a5R+b3t5OH1H3Squ8/fSn+dpNCW9dKqlt\nkspbY6Oj0kMP8aSK1mlVeJOS572FWnmTpiskDKobS2qbRLK+Pt8CWF/FpvKWLim8RVW3ou258UVL\nQgxvjdomt2/3j1sPI+gZoot1zHdrLC28Pf10vnZTTr0uVd82SeUtn9FRv0ceA0W0StLKr/UabRMQ\nmW/hjcpbfkuX+rfHjtE22UhPjx9g17e2cZEgXVJ427mzWMtkJB7e9u4NZ7GSSKO2SRYrSRZdrGO+\nW2NU3gJVf7Wfyls+o6P+LVdf0SqtrLwlLVoScngbGfF7L1IRySe6UEDbZGP1rZPO+XON8yxZWuWt\nyGIlkSi8hbhYidS4bZLwlixqm6Ty1hiVt0DVX+2n8pbPyIh/yws4WqVReHvlFT93JM/V5/lYeXv0\nUf/7NZqAjel2edomG6sPbwcP+uol51myoaHZ1aSii5VE+vv9IlfPPhtmeGvUNjk5yUqTSfr7fTvz\n5CSVt0aovAWKyltzRkf9/m4DA50+EoQi+ltM2iNJKrYB9Vvf6gc7L788fVvI4S1aQIhWtnzilTfC\nW7b68EZ1N1ta22QzlTdpuvpG2yQiUTvzD35A5a0RKm+BWrXKD/CivVSovOWzbp1f+p6JxGiVJUv8\nqllHjyZ/vsh8rjPO8C/6W7dO3xZyeBse9kGE+W75ROEtxGpGq9WHN+a7ZasPb86VC2/RipMhnqtZ\nbZNTU7460uzjFrrhYV99I7xlW7FCOnFieowv+cftlVfyFR8Y4napnp6ZyZzKWz5Ll0pf/GKnjwKh\nyWqdLLoYR33rZMjhLWpjZlCdD5W3/Ki8FbNmzczwtmePf95p9rknXnkLLbwtX+43S453SESeecYH\n4ZD2tWulkRE/dg31Na1VzPyYPr7XW9QymWf1V8JbF4sPGKm8AZ3TyvBWv2hJyOFtcNBfiKLyls/A\ngJ9H9Oqr4Z4TrULlrZg3vtFf6T9xwn/c7GIlkSi87dsXXtukWXr1jZbJbMPDzHfLq751Mu98N4nw\n1tXiA0Yqb0DnUHlrTm+vHwQxqM5nYMAH+zVriu+9Nd9QeSvGbGb1rdltAiJnn+3bvF56qfgm31WQ\nFt4mJwlvWUZGaJnMqz685Z3vJhHeulp8xUkqb0DnZO31lnePt8h8Cm+S9O53+98ZjQ0M+HODlsnG\noj0EI1TeGovPeytbeevpkS64wJ+zIc4xT1txcts2VprMcvXV0jXXdPooqiEpvFF5C0B8lbtDhwhv\nQKe0svI2OiodPz79pB16ePvWt8pd4Z9PBgb8wjiEt8ZWr/aT+48d8x9TeWusPryV/bscGwuvZTKS\ntuIkbZPZ1q6Vzj+/00dRDX19s+e8UXkLQDRgPHbMtx8tWtTpIwLmp7TwNjXlr/4XGTSa+UrUU09J\nr73mg9zSpa07VlRXtMoY4a0xM19927vXzxE8cMB/jHTx8Fa2bVKSLroo3Mc8qW3SOcIbWofKW6Ci\nVi3muwGdlRbe9uzxn1uwoNj327TJt8e9/LLf7DbEtiMU19fn34a2el+7RPPe9uzxg+3e3k4fUXeL\nwtvUlF81sezCEh/5iHTjja05tm6T1DZ58KC/aBD9nQJlxMPbq6/6C8F5p2AwZOhi0YCR+W5AZ6XN\neSvaMhnZuNEvTBF6yySKWbDA7/FJ5S2fkREf3Jjvls/QkG8F3L3bh5Oy3TwLFoR7oSGpbTKqurGY\nEFohHt6iv8m8F4IJb11sYMCHNypvQGelVd7KhLcnnyS8YbaBAcJbXlHljflu+USrTZZdrGQ+SGqb\nZKVJtFI8vBWZ7yZJNBl0sf5+f7WfyhvQWa0Obxs2+PD20kuEN8x00UXS+vWdPopqiMLbqVNU3vKI\n2iZbMd8tdEltk6w0iVaKh7ci890kKm9dLRowUnkDOiu+8mtcs+Gtv9+3LE1OSsuXt+YYEYZvfpPV\n2vKi8lZMFN5asdJk6LLaJoFWKFN5I7x1sVWr/IIG+/dTeQM6aelSv6jIyy/PvL3oHm9xmzZJDz5I\n5Q1oVhTemPOWz8CA7+TZupW2yUaWLfMX6+LP+YQ3tFJ95Y3wFoieHv+fu2MHlTeg05JaJ5utvEl+\n3tsDDxDegGZReSumt1c680zpoYeovDViNrN18vhxX4lr9mIdUG/pUr/y64kTvvJG22RA+vul7dup\nvAGdVh/enCsf3rZvJ7wBzaLyVtzQkHTyJCEkj3jr5I4dvjLCdhRolWjbiRdeKF554zTscgMD0iOP\nUHkDOq0+vB044K+cNbvB9saN/i3hDWjO8uV+APTKK76ihMaGhnwViRDSWHzFSVom0Q5nnukv4p5x\nRrEiDX++Xa6/3y9YQuUN6Kz6vd7KVN0k6bzz/FvCG9C84WH/lr238hka8gNFNBZvm2SlSbRDX5/0\nT/9UrOomEd663sCAf0vlDeis+spb2fC2fLl09tmEN6CM4WHCSBGjo1wMziveNrltm/SBD3T2eBCe\nKLwVme8mMeet6/X3+7c82QKd1erwJvk9vaILNACKGx5mvlsRn/qUtHlzp4+iGmibRLv19fkFhKi8\nBSYKb1TegM7q75eeemr64127pHPOKfc9b71VWriw3PcA5rOzzpKWLOn0UVQHlf781qyR7r5beu01\nv2DJ+vWdPiKEpq/PV3eLVt4Ib10uuiq/cmVnjwOY75LmvF1+ebnvuXhxua8H5rvNm5nvhvaI2iZ3\n7/YLSyxb1ukjQmj6+vxbKm+B6e/3m3XT0w90VjvaJgGUQ9UN7RK1TdIyexal2wAAChpJREFUiXaJ\nwhtz3gKzdi39/EA3qA9vzz5LeAOAUEWrTU5OstIk2qOvz2/bsXZtsa8jvHW5s86SfvSjTh8FgCi8\nOScdPiydPs1CQgAQqqhN8uGHqbyhPYaG/Nz5ot11hLcKYDNNoPOizbiPHZtumWSuDQCEa3BQuu8+\nwhvaY8MG6f77i38d4Q0AcjCbrr4x3w0AwrdmjbRnD+EN7WE2Pe+tCMIbAOREeAOA+WNwUFq+3Le3\nAd2iVHgzs9Vm9j0z225md5nZrAXtzWzUzO41s6fM7Akz+/dlfiYAdEo8vL35zZ0+GgBAOw0O+qob\nLfLoJmUrb9dIusc5t17SvZI+k3CfKUl/4JzbIOldkj5hZhSgAVROtNcblTcACN+aNaw0ie5TdimM\nD0p6T+39WyRNyAe61znn9knaV3v/ZTOblDQiaVvJnw0AcyqqvLFNAACE7+qr/SJVQDcpG94GnHP7\nJR/SzGwg685m9mZJF0p6qOTPBYA5x5w3AJg/1q3r9BEAszUMb2Z2t6TB+E2SnKTNCXd3Gd9nmaRv\nS/oPzrmXCx4nAHRcf7/fd/HIET8XAgAAYC41DG/OuSvTPmdm+81s0Dm338zWSDqQcr9e+eB2q3Pu\n9kY/c8uWLa+/Pz4+rvHx8UZfAgBtNzDgw9vatVIPa/UCAIAWmZiY0MTERMP7mXOpxbLGX2x2naQX\nnXPXmdkfSVrtnLsm4X5/LekF59wf5PierswxAUC7PPSQ9Iu/KF1+uXTPPZ0+GgAAECozk3Nu1lqn\nZa8dXyfpSjPbLulySdfWftiQmX2n9v67JV0t6TIze9TMHjGzXyn5cwFgzvX3+7fMdwMAAJ1QasES\n59yLkq5IuH2vpKtq7z8g6YwyPwcAukEU3tjjDQAAdAKzNgAgp2XLpEWLqLwBAIDOILwBQE5mvvpG\neAMAAJ1AeAOAArZskd7xjk4fBQAAmI9KrTbZDqw2CQAAAGA+a9dqkwAAAACAOUB4AwAAAIAKILwB\nAAAAQAUQ3gAAAACgAghvAAAAAFABhDcAAAAAqADCGwAAAABUAOENAAAAACqA8AYAAAAAFUB4AwAA\nAIAKILwBAAAAQAUQ3gAAAACgAghvAAAAAFABhDcAAAAAqADCGwAAAABUAOENAAAAACqA8AYAAAAA\nFUB4AwAAAIAKILwBAAAAQAUQ3gAAAACgAghvAAAAAFABhDcAAAAAqADCGwAAAABUAOENAAAAACqA\n8AYAAAAAFUB4AwAAAIAKILwBAAAAQAUQ3gAAAACgAghvAAAAAFABhDcAAAAAqADCGwAAAABUAOEN\nAAAAACqA8AYAAAAAFUB4AwAAAIAKILwBAAAAQAWUCm9mttrMvmdm283sLjNbmXCfhWb2kJk9amZP\nmNkfl/mZAAAAADAfla28XSPpHufcekn3SvpM/R2ccyclvdc5NybpQkm/amYXF/1BExMTJQ8VSMf5\nhXbi/EI7cX6h3TjH0E6cX8WUDW8flHRL7f1bJH0o6U7OueO1dxdK6pXkiv4g/mPRTpxfaCfOL7QT\n5xfajXMM7cT5VUzZ8DbgnNsvSc65fZIGku5kZj1m9qikfZLuds79c8mfCwAAAADzSm+jO5jZ3ZIG\n4zfJV842J9w9saLmnDstaczMVkj6P2Z2nnNuaxPHCwAAAADzkjlXuINx+ovNJiWNO+f2m9kaSf/g\nnDu3wdf8J0nHnHN/lvL55g8IAAAAAALgnLP62xpW3hq4Q9JHJV0n6Xck3V5/BzPrk/Sqc+4lM1ss\n6UpJ1xY5SAAAAACY78pW3t4o6e8krZW0S9KHnXOHzWxI0v9yzl1lZpvkFzPpqf37W+fcfy1/6AAA\nAAAwf5QKbwAAAACAuVF2tcmmmdlNZrbfzB6P3Xa+mT1oZo+Z2e1mtqx2+1lmdtzMHqn9+x+xr7nI\nzB43sx1mdkMnfhd0n1acX2a22My+Y2aTtQ3mv9ip3wfdp1XPYbGvvSP+vTC/tfA18g1m9jUz225m\nW83sNzrx+6C7tPD8+khtDPZjM/turSML81yR86vuc0/WPr+gdjtj/AQdC2+Sbpb0vrrb/lLSHzrn\nLpB0m6Q/jH3uJ865i2r/fj92+/+U9K+dc2+T9DYzq/+emJ9adX79aW0RnjFJl3B+IaZV55hqA+oj\nbT1aVE2rzq/PSdrvnFvvnDtP0n1tPWpURenzy8zOkHSDpPc45y6U9ISkf9f+Q0cF5D6/aufRrZL+\njXNuo6RxSa/WvoYxfoKOhTfn3PclHaq7eV3tdkm6R9K/jH1u1kImtRUul8f2jftrpWwUjvmlFeeX\nc+6Ec+6+2vtTkh6RNNqGw0UFteIckyQzWyrpk5K+0PKDRGW16vyS9LuS/lvs+77YsoNEZbXo/Ipu\nW25mJmmFpD0tPVBUUsHz65clPeace7L2tYecc44xfrpOVt6SPGVmv157/8OaOVB+c61c/w9mdknt\nthFJP4vd52e124AkRc+v15nZKkkfkPT/5uA4UV3NnGP/RdL1kk7M1UGisgqdX2a2sva5L5jZj8zs\nb82sfy4PGJVS6PyqXdT8ffmK288knSvpprk8YFRK2vn1Nkkys783s4fN7D/WbmeMn6LbwtvvSvqE\nmf2zpKWSTtVu3yvpTc65iyR9StI34r2yQE5NnV+1kv43JN3gnHt2bg8ZFVPoHDOzCyS91Tl3h/xV\nbLZKQZaiz2G98gOk7zvn3iHph5K+NPeHjYoo+vzVK+nfSrrAOTciH+I+24HjRjWknV+9kt4t6SOS\nLpX0G2b23s4cYjWU3eetpZxzO1TrkTWzdZLeX7v9lGr/yc65R8zsafmk/rz8NgWR0dptwCxNnF+P\n1L70RknbnXNfmfODRqU0cY5dLOkdZvZTSW+QNGBm9zrnLuvE8aO7FT2/au8fc87dVvsW35IfQAGz\nNPH81eNvev2i5t9J+qM5PmxURNr5JV9R+0fn3KHa574r6SJJfyPG+Ik6XXmbcaU5aucwsx5JmyX9\nRe3jvtptMrO3SDpH0k+dc/skvWRmF9f6rX9bCRuFY94qdX7VPv6CpBXOuU/O7aGjIso+h/2Fc27U\nOfcWSZfIXyQguCFS+jlM0v+NXcW+QtLWuTl0VEDZ8+t5SeeZ2Zm1b3GlpMk5O3p0u1znl6S7JG0y\ns0W1au57JD3FGD9dxypvZvYN+RVlzjSz3ZL+WH7S6yckOUn/2zn3V7W7/wtJ/9nMTkk6LenjzrnD\ntc99QtJfSVok6bvOub+fs18CXasV55eZjci3gEya2aO1r/uqc+7rc/vboBu18DkMmKWF59c1km41\ns/8u6aCkj83db4Fu1aLz67CZ/Ymk+2uf2yXpo3P6i6ArFTm/auOtP5P0sPz5dWdsLM8YPwGbdAMA\nAABABXS6bRIAAAAAkAPhDQAAAAAqgPAGAAAAABVAeAMAAACACiC8AQAAAEAFEN4AAAAAoAIIbwAA\nAABQAYQ3AAAAAKiA/w8e6/JhNnq3DwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e8e0090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -3.162908\n",
      "p-value                          0.022235\n",
      "#Lags Used                      13.000000\n",
      "Number of Observations Used    119.000000\n",
      "Critical Value (5%)             -2.886151\n",
      "Critical Value (1%)             -3.486535\n",
      "Critical Value (10%)            -2.579896\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "test_stationarity(ts_log_moving_avg_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exponentially Weighted Moving Average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10ebfa150>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NM6Xlywd3Hfn6Y2OeN/vOvvnG8+3RFi1JRERERCz2ww8MtHxt+NCzJ7NtGRm+N80IdWvW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\nAAAAgBAgOAMAAACAEPh/xnexEisC62YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10eb4fe90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "expwighted_avg = pd.ewma(ts_log, halflife=12)\n",
    "plt.plot(ts_log)\n",
    "plt.plot(expwighted_avg, color='red')\n",
    "# expwighted_avg.plot(style='k--')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CSZMmtbudH/3oR7z66qssW7aM0047jfz8fK699tp2QzY/+eQTGhoauOqqq8jM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\ndMMGhjenlpZylYnhrcz+TIzRc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Xs4542IiIiIyAvDW0J6e4GdO4GxsfJjDG+V7M+ClTci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\nCJy9960AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ec3e8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -3.601262\n",
      "p-value                          0.005737\n",
      "#Lags Used                      13.000000\n",
      "Number of Observations Used    130.000000\n",
      "Critical Value (5%)             -2.884042\n",
      "Critical Value (1%)             -3.481682\n",
      "Critical Value (10%)            -2.578770\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "ts_log_ewma_diff = ts_log - expwighted_avg\n",
    "test_stationarity(ts_log_ewma_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eliminating Trend and Seasonality"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Differencing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10ec4f250>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JA7jL2GQU0YVsQzyXkRWb7OigyaKIxZXhIzbZ10cD5+HDfp2ZpPOm28/MlMlJ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\nFiygBpDDw+qPLaLuBUuA+u15A+TEuK1iJUC1xJt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cKGp9trfdZr9YCeDOeTMRb2WxSWDq\nvrc6xSZ1nDcd8Xb8uJsiLoKQscmqOm+hq03WUryJCWdW+VCBSZNuwL/zBtBNbdcufeetjrHJkRES\nbq4qKgqyBubjx6dvgjXFpngL6bw9+yx9LrITMllsTTx9CNskl11Gez1vuGHq1+scmwTy++iEFm+A\nm31vNmKTVdjzZnvFV3W/m0C4b6qxScB+ZBKguUFv7/RFFhN0zplkdFJUDZaJFIt9by6dN5viTaWd\nTZHzJiPexFjgKjaZV9jMBNV7eDI2KXveLVxIsfUVK9wtgrsoWCL7vlR1z1sjYpO+mTuXBsL+/vyf\nMXXeVq6k5y96DRVkqjyaOm/z55MYKmqmWDXnzfV+N0F6YB4fp5uGyTmSxebN9XLe8toFuNjvBtQz\nNin40IeAv/3bqXsabUVVQjlvWeItjuX3vLmKTQJu9r2ZFixpamxSdb+bQOx7U7nfbthAjzv/fPXX\nK6Ojo7gIkw6m4k1lHF+wgCp4tre7ESjJBuk2EBEvmcVX3dgkMHUhp26xSZX7VDo2KVtt8je/cReZ\nBOw6b3Gsdk3lLTBWQbyJ1kc28dmkOwhF+97i2Nx5iyKq3GPLfZN13h59VN95i6LyCY+NMu3r15Mz\nY6MnysiI2/1ugnRsUuzRsO34bdpU3q5BFh/OW17PRBf73YB6i7ff/m36PL773dbXbEV4XDhvMk5K\nVruA0VGKfpVdG2KyMzpK78PWrdqHm4mLdgG64u3AARLtTY9NqqLjvG3ZQpUUTXs95mG7aImpeFMZ\nqxYuBG66iVw3F++PbedN5R5lIzY5MkLzvp4e9WMtw7Z4U3ElBTrO24IFwIMPuqs0CdgVb8PDdH/p\nkGxU1tNDvYXT+59D73nr6KC5qy2DR9Bo5w0oFm9DQ7RyZSoKbEYnZcXb6Ki+8yaeo2hwtuG8tbfb\nEynDw2GcN1erNnXb85YXm3Sx3w2ot3iLItr79tGP0gLRyAi1EFizxvy5bbtMsqt3We0CZAsIicnO\n44/T89i+jqsSm5wzhyYvzzzDsck027bRZHP3bvspBl1s73uzId5kH79gAXDzzW72uwGtgiW23AKV\ncdhGbHLfPhprbFW1TWJbvIm4rMoCcdJ5U6k2OTjo1nmzWbBE9d49axadt+kFmdDOG+CmaEnjxVtR\n0RLTyKTAZtES2YIlgL7zBpRPAm2IN8BedNJXbDI9MNdFvPlw3rIWQfbs4dhkFq95DTXm/uEPybHq\n6ZFfQSzCpvMmKtbJCLCsSIqseBMLIi4ik0B1YpNAa99FU503XfHW3k5Num++ubniTSetohubXLiQ\nFl9d7HcD6DNub7eTmgHUxuFly2i7QvqalnkOsZDjKjIJ2BdvOouvus4b4D42aWvM0XlfsoqWVEW8\n2V5gbLx4K3LebIk3386bOBFdO28qNn4ettoFuG4TIEjHJl1d+MuWkb1vI5riQ6DkLYK4jE3aWMHz\nXW1S0NYG/NVfAR/5iN2N8zZdJrF/SWbFNys2qeK8DQ7WS7zpnjdi8sB73qZz6aV0DlVFvK1aFT42\nuX49CcjhYbVxfMECuv+fcYb6ccpic9+bykQ8irIXN2Wdt95ed5UmgdZ4ZtOVVD1vdFsFAPXZ86bz\nvmQVLQkdmwTcFC1pvHgrct5Me7wJbDpvsgVLOjvNKvwtWeLHebNVcTJUwRIXlSaB/BuUDiGdNy5Y\nks+b3kRjz9e/bu+GKW4CNiYOsoM/QONof//UHoiqsUlX4s3Vnjed82b9eir9PjpqZ/HLBBexSd09\nbwDtewPsV6bVpQriraODxoY9e9Rjk672uwls7ntTHYdNxJtw3lyJt/Z2mn8ND9t5Pl3n7cgRtaIe\ndRRvps7b6Cjds0IvpHFsUoPTTssXD3V13pYsoXKvJkU0Fi92v+cNsBeb9Om8+YhNAvYqTvpy3tJt\nN/r6aGA0cYDzqGurgCTt7cD/+l/A//2/9m6YXV30x0ZsR0W8tbVR9DO5761KsUmbq5qigICOSFm/\nHnjoITp/XU6sZahSbBIALrqIromqOG+rV1OBA1vo3jNFdFJlrPrd3wX+7M/UX0sFm86bqXgbHaWk\nStkCro/YJGA3Oqlz/54zh96Lvj61apOAux5v4jVsiTede3faeROL76HHYlfOW2ObdAO0oXfnzuzv\nmVaaFJx+ut89b8uXmxc/8FGwBKif8+YrNgnYK+biw3mbNYsm6snJoIhMuhgYm+C8AcAf/AHdLG2u\nAtuKCaqIN2B6dFI2QieuqUcfBc48U/04y3DRPkG2rHmadeuoolvolV7AXWxSV7zNmwf8yZ+4iVnr\nUAXnDWiJN5Wx6sILgRe9SP21VLDtvKm8N2nxJipNlt1rhPPmMjYJ2BdvOueN2Pcme96tWgW87W1u\n51E297zpvC9p5+3o0fD73QDe86bFeedR9a9Dh6Z/z5bztmQJbbC18eHIfCAvfjHwne+YvY6v2OSq\nVXTDN51chYpNuhZvdXHegOntAlztdwOaI966uoDbbqMIpS1s3QhUxVu64qSsOyViRosWuanAaFu8\nmYx969dTD84qiLcqVZsUfOEL5HhVgao5b6H25+YhKk7awNR5k4lMAq0IdZ2cN910iNj3JnvezJ0L\nfO1r6q+jQujYZNp5O3Ys/H43wE1F5MaLt7a2fPfNlniLInvRSZk9b+3t5r06fMUmo2hqRS1dmlaw\nBKjXnjdg+v5RV/vdAHsreKHFG0BjQ1eXvecL5bylK06qXJNz57qJTAL297yZXE/r1pHACd0mAHDX\n583HOOyDqjlvISPeWSxdas95U/3dspw3mccvWkQLTP39ZtW4y6ij8+YDm+JNt9dmWrxVwXmzuRAi\naHyTbgC4/HLg1lunf92WeAPsFS1RnVDp4is2CdiJToZqFeCqYAlg13nzMXini5bUxXmryo3NFiGd\nN13xNm+eO/FWVFFYB5Oxb/VqWlyrgvM2fz7d4NNNa00wdd6qxOLFdA4ni/CY4DM26YOQztu6dbRQ\nKIqCyDpvixfTGHXaaW73OVXFeTt4kFJfPuZGMsyfT/eVyUnz59K5HlaupHujOG+qIt5sLoQIGu+8\nAX7Emy3nzad48xGbBOy0C/C14uszNrl2LT2/6eTB14qtT+etKbFJF9h03lQm4mvX6hUsAdyKt54e\nisXbEikmY197Ox1PFcRbWxud+zbdtyaJtyiy677pnjfiPvDMM9VaaLI54VQdh9vbKQInFsRVYpOA\n28gkUB3nbe9eemzoghyCtjY6nv5+8+fSmdekC2tVoU0AYHf/qGBGiLdzzqHsf7r/g23xZst58zGA\nl8UmbR6HjYqTTSxYIuKve/eaPU8TnbfZs2kyPjJi9jxViyLZwJbzJhu7EJg4bwsXAtu2qR2fLLNn\n03hmq+Gy6cLV+vXViE0C9qOTTRJvAIk3W/vedM+b9naaP9x/f7XGqpAFS4CpyRRZ8TdnDu2vdVms\nBKiO87ZnT7XOGcDulgeTXptAdZw3F7HJGSHe2tqA7dunu2+2Y5N1c97yBuaJCbtWfJ1ikz6dN8BO\nu4AQztvQEP3bVdnhKLJTdripzlsVYpMqDZtvvBG47DK141MhfWwm2BBvVXDeAPsVJ5u05w2gmGto\n5w2gBc6HH67WWBWyVQAwVbzJOm9RRONjncSb7j1q5Up6f6rk1gL29r3pvi/JoiVVEW8cmzTg9HFZ\n6QAAIABJREFU8sunFy2x1aQbsOe8yRQssYGYAGY1+xXHYMuKF86bSWPhEH3ehAPn8vMwbRcQx/6c\nt6R4e+IJcg3b2929nqlrMDZWrf0AtrBVoENVvC1dSoJNXB8qvdBWr3Yb7Vm/fmqJaBNMxdvZZ1N0\npwrYrjjJzls+puJtfLxaE3GbzpvOAmNavMk+ftGimRGbXLWKDIMqnTOAPfGmuyiddN6q0iqAY5MG\nZO17c1GwxESgAP6ct85OEkNZF5ltAblkCVXbM4k1hYhNuixWIjAtWjIyQp9lR4e9Y8ojGZt0GZkU\nmIo3MfhXZT+ALUIVLImiqfvequTCVMl5++AHgfe9z86xmMKxyWKq5LwB7LwlSccmZZw3gFopPf/5\naq+lShVikytX0gJl1cSbrUbduqI27bxVYc+b2KZkqg8EcTwDmnQLzjyTJhvJaKOtJt0APU9Xl/lg\n50u8AfmrAS5Kz5pGJ0MULPFhuZuKN5/VFJPOm8tiJQLTiWcTK00C4VoFAFNFUpXEW5WctyphOzbZ\nNPFWJecNqJZ4E/MDGxNOX7FJAPjqV1vvpyuq4LytXNk6lioRus1PFfe8dXXRuGmrjcLoKKWeZBbt\nay/eomj6vjebzhtg3i5gYoI+FF8TomXLslcdXYk3k6IlIZy3Oog3nwU56ua8NXG/GxDOeQPIeaui\neEvesE1pkniz7bxV6TO3gc1G3TbEW5XOu66u/HSOKjoCZeNGWmyfmFCLTfqgCs7brFl0L6jSOQPY\njU2aOm9ViU0CdqOTKvfu2os3YGp0cniYVpRs3ohM2wWID8RXzOslLwF+/OPpX3cxeTFt1D0y4n/P\nmw/xdvrpNOkcH9d7PDtv+TSx0iQQ3nmrYmwyecM2pWnijfe85VOFVgEA7ZGcN686hW4EtiacOgtp\nc+bQ/ffgQbXYpA+q4LwBdP5W7R4XumCJWMibmKCxb/Fi82Oxgc2KkzNWvMVxy3WzKZRMi5b4jEwC\nwOteB3zve9O/XkXnbXjYf7VJH+Jt9mxgxQr9iadPgbJwIU3eRkbYeQtJSOctGZtUqTbpGo5NZsOx\nyWKq4ry1tQEPPED3gipha9+b7n1KJFNUYpM+qILzBlB0smpjVeiCJWIr1L59NIfwUQ9ABpsVJ1Xa\n/DRCvG3eTMJtzx77kUnAvF2Ab/F2ySV0vGnh4Mp5q0Nscu5c+hzimG5arguWAGbtAnxONKOoFbXd\nv999OWYWb9mEahUATI9NVmUiv3IlvSfDw+bP1STHds0ae6IWaJ54W7GC0gSmDd4nJ9X7JqZxPZ7q\nENJ5A6aKtypdk+l+sCaY3KeqKN5CFyyJIlrMu/fe6kQmAY5NGhFFLffNhXirm/PW0QH8j/8x3X1z\nIQiEQJmc1Hu8r4hWeztl/YeH6ULzcfGbtAvwLVCWLwfuvpviGq7FNIu3bObPp7FCN2oraFJssq2N\nomfi2ExoUqGbc8+l5s+2qNJnboOuLpoHiL28uggXuq0RM6UWNqJeJi1bhHjj2GQ2q1ZVb6wKXbAE\noPvUvfdWo9KkgGOThgjxZrPHm8C0YMngoP8L8bWv9SPe5s8nIaQbD/TlvAGtgdlXpSKToiW+I17L\nlgG//KX7/W6A+QpekybhSdraKBpiupdJx0WparVJwF67gCbFJrdtAx59lAph2aBpzhtgp11Ak86Z\nJDaiXuK90dmiwrHJYt7+duBNb7JzHLawEZuMY7Nrip23Fo0Tb729bsTbvn36pXV9NehOcsUVwJ13\nTi2A4EpEmkQnfRUsAVqRiDqItxDO2513ut/vBrDzVoSNRt06ztvixbSSfupU9cSbrX1vTZqIz51L\n96VHHrHzfE0UbzbaBYS4d/vAhltgMg5XOTZpQ7wJkaJ77px3Hi3QVAkb4m142Kx/rXDeqiTebO55\nm5Hi7fTTycG58057Pd4E8+bRiau7iuc7NgnQMV9+OXDzza2vuZq8mPR681WwBGgVLamDeAvhvN11\nF4u30NgoWqIz3iQbdbN4qwfnnQfcd5+d52qieGPnLR9bzpsN8dZE503EbdvbzZ+rKtjY82Z6716/\nnhZkqiTeODZpgcsvB2680b7zBpi1Cwgh3oDp0UmX4s3EefMZmxTOm4+CJeIGpePYhnDehob8xSa5\nVUA2NtoF6I43Ip5YNfHGsclszjvP3r63qn3mNrDlvDXpnBHYiHqZ3KPE/ffo0WaKtyYuMNrY82Z6\nPa1bR39Xbc+bTedNdhGtceLtySfdiTfdfW8h9rwBwKtfDfzoR61Kba4iICaxSZ+TBjEw+ypYsmgR\nCdNnnlF/bAjnDWDnLTShnDegJZKq1CoAYOctD1vibXKS9s5V6TO3ATtv+dhoFWAyDkdR615TpViq\nLfHWxPPGRmzS9N4txFuVnDeOTVrg8svpbxfizaRdQCjnbfly4HnPA37yE/p/FWOTPp23uXNp8Dhx\nwo/zBui3C/BdlGP5cvqbxVtYQjpvol1AlVoFAOy85SHEm+5ebIGIrtvsjVoF2HnLJ7TzBtC9Zv78\nap13yX6wJjTxHmVDvJmmZtaupb+rJN44NmmBdetoQKia8xZy03OyYberG9HGjTS5GhtTf6xv5+3Q\nIfrbV4NH3XYBvqOBy5dTbyQfERYWb/mEdt6qvOfNVKQ0bSK+Zg29J6YCpYn73QA7jbqbds4IbDlv\nJu/Npk3VikwC1GJiclJvLpOkiRWRbe15M3lf5syhuUpTY5Mzrkl3ko98BHjRi+w/r0m7gFDOG9Da\n9zY56e5G1NVFvZh03h/fe96eesrvqo1u0RLfg/+2bcB73uPntWyIt6bdGAWmjbrHx2nioXNNVXXP\n28KFtDpv8r7Ecdhx2AVRZCc6WbXP2xarVnFsMg8bE07TBUbhvFWJKLITnWzivmyx581kEc3Gwuub\n30xpr6qwZAmlZUwXF4EZ7LwBwFveQi6ZbepYsASg2N6yZVSF0+WNSLdoie/Y5P79/iKTgL548z34\nr1gBfOhDfl5LFI6ZmNB7fNOdN5PYpFi504kiJWOTVZvMr19vFp0cGqJxpknV3wA74o2dt3yaLN56\ne2lRVxfTcXjrVlqsqho2xFsTFxg7O+nP0JD+c9i4nj77WUodVIXOTho/bTQwn9HizRWnnUaTB50J\nZ6iCJQIRnayiePMdm2TnLTxtbfS79ffrPb6Jq5oC09ikyUJRVWOTgHnRkqZOwp//fBZveXR3kzjR\nHWeA5p43HR30e4WMr192GfDd7+o/3hXsvOVjuu+tqQuvtqKTLN4cMGsWOViHDqk/NnSjz9e9jloo\nuLwRbdmiV7TEt/NWF/HW1MFfYBKdbOoNADAvWGIyEV+4kKIfk5P+9oTKYlq0pKmTcHbe8okic/et\nqecNYL7vzXQcFp9P1bDlvDXxHsXiLRtbFSdZvDlCt2hJ6L0WL3whXTS7d1fLeRsfp8mir4nivHm0\neu9TvK1eTTcCVaHSZOcNYPGWR0jnTTTqnjOnWhXgAHbe8jjrLLonmUSZqui02sK0XUBTzxvA3C1o\n6j2KY5P5mBYtaer1ZKviJIs3R+i2Cwgt3qKICpeMjLi7cDZtAvbuVXuMcN18TRTnzaOJik/xFkVU\njVPVfWPnLZ8mizdT5810rFm3rpoT+XXrWLxl0dVFC2cPPqj/HE113gDzdgFNPW8A8wlnU+9RHJvM\nx7RRd1Pv3RybrDh1dd4AEm+AuxvRmjV0k1SpuDMy4neiKD4DnwVLAL3oZJMnDYC+eIvj5q5qAmGd\nN6C64s20YElTJ1OAeXSyyeLN1HkLvV/dJaZRr6ZOxNl5y8c0NtnUcdhmbFJ2LGbxpoBuu4Aq3AC2\nbwde8xp3InLOHPodjx6Vf4xoDusL8Rn4bvCoI96aemMU6Iq34WGq7lS1PVm2EOJNt+xwk8UbO2/Z\nsHjLh523fEydt6beo9h5y8fGnrcmXk8cm6w4uu0CQhcsAShe873vuS2V3dMDHDwo//M+i5UA4cTb\nWWepxZrGxqiqaVeXu2MKja54a+qEQTB7NlXj1N3DZCre1q6tpnjr6aFJuG57iSZPwk3FG+95y6fJ\n5w07b9mw85aP6Z63pp4ztmKTM7pJt0vqHJv0gap48z1pEJ+Bb/F20UXAr34l//Ni1a5qRSNsoive\nmrqimcSkUXdTnbdZs+gGqTsRb/Ik/LzzgN/8Rt+tZectnyafNzactya+N+y85WO6562p1xNXm6w4\na9fS5GFsTO1xLN6ymSnO2znnUIsJ2UIUTR3gkrDzlo9Jo27TsebSS4G//Vv9x7vEpF1AUyeaALB8\nOf1u+/bpPb7J4o1bBeRjOuFsqkDhVgH5cKuAbDg2WXE6O6kwh2p0ksVbNjOlYEl7O3D++cBdd8n9\nfFMHuCQs3vIxKVpiOtbMmwdccYX+411isu+tyZNwwCw62WTxtmoVxybzsNEqoIljMccm82Hxlg1X\nm6wB558P3H232mOafANIohOb9O28dXSQcPDNxRfLRydnwvmim51v6k0xiUm7gCYvFJm0C2j6NWUi\n3pq8523FCppUjY/rPb7J503oJt1VhWOT+dioNtnE68lGbDKOudqkUy66CLjzTvmfn5gARkebe3NM\nsmZNtWOTS5cC27aF2Uumct409aaYhJ23fEyctya7KCbtApo6aRCw85ZNezuN+888o/f4Jp83Jm5B\nk1u2sPOWDxcsycZGbHJkhIrUyRYVZPGmiGrxCXFjbHLxCUHVC5YsWgTce6+/10sinDeZogJNnjAI\nysTbtdcCt946/etNHfyTsPOWDccm82Hxlo/uvrc4bvZ5Y+K8jYxQiqWz0+4xVQF23vLhgiXZiHv2\n5KT+c6jeu43EWxRFi6Mo+lEURY9GUfSfURQtzPm5L///9u49zI66vuP457uXYNhs0mwuhARJxJIE\nIiFoE6So3VC5GKlJ2oIQsUD7ICJoBa2JfbyAFQmCpt6oigrBCoYHqWBtiUASKmKrSICESxJCINUk\nK3m4xCSE3H7943emO3t25lx3z8yZeb+eZ59szpnd89vzzJmZ73y/v+/PzHrM7PF6Xi8N/uRPpEcf\nrbxpSZYvpoqlvWFJko44wreAr6SpQB4ClFLBm3PSTTdJ73uf1NPT97msnhTDkpzzlmb1NCzJ6kVD\n4OijfYBSy4VVHoK3Wua97d3rj9lZDFAkf5zZsaO25TeymlmSaFhSSj1lk1nO1ra3+7+rnqxkNSWT\nUv2Zt0WS7nPOTZG0QtInY7a7SdLpdb5WKnR2+iUD1qypbPs0LNDdKKNH+w/nnj2VbZ/luRbFzCrP\n2mb9QlMqHbxt2+bvYF14oXT++X3vZmX1pBiW5FIBaUbmLV5bm3TssZWfl8KyfhyudbmArO8zra3+\nOFzLsSbLN9HqDd6ynLGtJ3jbs8cHOVm9GVJv05KGZt4kzZW0tPD9UknzojZyzj0oqcZCoPQ58cTK\n5y+lYYHuRmlp8Xc5t2ypbPs8Zd6kypuWZPXuVFip4O2xx3wZ2JVX+m2+/OXe5/IQvCW5VECajR0r\nvfJKbQuYZ/ViKqzW0kkyb9HysM/UesGZ5eNwvcHbnj3VzV1qJvXMecv656neeW/VLNAt1R+8jXXO\n9UiSc26bpLF1/r6mUM28tyxfTEWppnSy0UsFJK3SpiVZvqsZKBW8PfqovxBtb5duvVX64hd7l1nI\nQ2BL5i1aS4svP/7tb6v/2axfOEjSjBkEb1HIvMWrdd5b1oO33btr//ksn6PqmfOW5X1Gqqzj5N/9\nXXzfhQHPvJnZvWb2eOhrTeHf90RsXkE7huZH8BavmuCt0UsFJG3mTP/BLde2OssH/0BwEohq4BJk\n3iRp0iTphhukc87x22f9BCCReSul1uUC8nAhTuYtWq0NS/Kwz5B566/ezFuWb77WUzaZ5X1Gquyz\ntGJF/A38as/dbeU2cM6dGvdcoQnJYc65HjMbJ6nGhrx9XXnllf//fXd3t7q7uwfi1w6YN73JN57Y\nsaP8mmFZv5gqVm3mLU/B24gR/uJz7Vp/lzzOrl0+w5Bl7e2+tCSqVOCxx6RFi3r//9d/Ld13n/TB\nD/pSlCyfACQalpRS63IBebgQnz7dH1sOHKiuZCsPc94om4xWa6lXlm8w1hu8Zfm9GTrU33zet6/6\nuWtZ/zyV+yzt2+dvPD79dPTzwbl71apVWrVqVdnXKxu8lXG3pAskXSvpfEl3ldjWCl9lhYO3NGpv\n9xffDz8snXJK6W2zvsMWqzbzluWLhijBvLdSwVuWD/5hQfYtHGy8+qq0aZN0zDF9t12yxGcut2yR\n5s9v7DgbjaUC4tXatCTLd8MDI0ZIY8ZIGzdKkydX/nNk3qLl4dxd6+LCWf48kXmLZ+b/tj/8wQcr\n1ch75u1//9c3X1u3Lvr54NxdnLC66qqrIrevd87btZJONbN1kv5c0mJJMrPDzezfg43M7FZJD0ma\nbGabzezCOl83cZU2Lcn6xVQxMm+lVVJyu2GDb86QdVHz3p54wl94DhnS9/GhQ6Vly3zAn+UTgETm\nrZRalwvIw4W4VFvpZNaDtyDzVskam2F52Gfqybxl9Tg8dKi/Nql1za4svzdS+TVa42T981TuRsiz\nz/rr43LBW6XqCt6ccy86597pnJvinDvNOfdy4fGtzrkzQ9stcM6Nd84d4pw70jl3Uz2vmwaVznvL\n+sVUMRqWlFYu6F+9Wlq/Xpozp3FjSkrUSSA8363YtGn+vZs9e/DHlqQRI/wFQC0XD1m/EK8l8+Zc\nfpZsmTGjt7lPpbK+z3R0+GqZV16p7ueyfrEp1Z55y3KAYuY/D7U2Lcn6flPrvLcs7zNS+Rshmzb5\nSr0tW6KX02r0UgG5FXQOLHc3L2/B2/jxNCwp5bjj/B2YuIPfdddJH/1oPt6XqOAt6DQZ57jjsrtO\nTKClxZ/kqr3YlLJ/vKmlYclrr/l10LLYurvYWWdJt9xS+Vqbkg/esn4TrZZ5b1m/CJdoWBKnntLJ\nrL83BG/Ryn2Wnn3WVxW94Q2+uqpYoxfpzq1Jk/zEzXKBStYvpopNmODvLFRSopLHsskhQ3xw8pvf\n9H9u0yZp+XLp4osbP64kVJt5y5NalwvI+vEmaFhSTQlcHi7CA9Om+ezbbbdV/jN79mQ78ybVNu8t\nD/tNPUsFZPm9qTd4y/J7U2vwlvXPUyVlk0cdJU2ZEl06SeatQcwqW7cr6ztssaFD/d9byQkhjw1L\npPiS2yVLpIsuKt/BNCuKgzfnpMcfJ3iTalsuYN8+32mweL5glgwf7rNo1bw3eTsGX365P5ZUEuA6\nl5/gjcxbf7Vm3rLclEPyF9G1Bm9Zf29qXag7D5m3cmWTb3gDwVsqBJ0DS8n6nfAolc57y2PmTYoO\n+rdvl/71X6WPfCSZMSWhOHh7/nl/sTRmTHJjSotaMm/BsgtWUU/f5lVt05Ks3wkvdtppPoi///7y\n2772mi9Dbsn4lUAtC3Xv2pX9czeLdEcj8xav1oW6s77PVFI2WSrzFrVsUikZP2QPrkoybwRv8fLY\nsESKDvpvuEH6y7/0cwbzojh4o2SyV6nM25Yt0Y/n5VhTbdOSPGRQwsz8vNklS8pvm4f5bhKZtzjM\neYtWT/CW9cwbZZPRurr8OTuq0diOHf5YO3asNHVq9FpvZN4aaOZMP3fpwIH4bfJyQRVWafCWx4Yl\nkr/78uqrvRfhu3dL3/iG9PGPJzuuRiN4ixe3XMAvfiFNnBh95zMvx5pqm5Zk/aIhynnn+XVI4xaE\nDeShZFKqPfOW9f0m6Gy7f391P5f34G3v3vigN+vvTS3Bm3PSc8/5n82qtja/30Sdm4OSSbPezFtx\nWTvBWwN1dfk7ek8+Gb9NHkovilE2WVowXzLIvt18s3TSSf6OTJ4U186X6zSZJ3ELdV99te+a+OCD\n/Z/LS/AWNC2pVB4uwosNHeobH33lK6W3y/oyAQEalkRraaltfm3WA5RywduPfiS95z3Rz2V9v6kl\neFu82E+LmDdvcMaUFnGZ7KBkUvKlyu3tUk9P320I3hqs3HpveVlfKKyazFseSnaiBPvN/v3Sl74k\nfeITSY+o8ci8xYvKvP3mN9KaNdLHPiatWtX/Z/ISvFWSeXvtNZ+lXLxY+vzn/fuZNx/6kPTDH5ae\n05SX4I2lAuLVMu8t6+9NueBt82Z/fFm/vv9zWQ9sq12k+zvfkW680XfSzvpxOK7jZJB5C0TNeyN4\na7ByTUvyckEVRuatvGCx7jvv9HeF//RPkx5R44VPAjt2+Iuro49OdkxpEdWw5OqrpX/4B+n006WV\nK/v/TF6ONUceKa1dK919t3THHb4t/tKl/gLhM5/xi7iPGuWb//T0+PfshhuSHnXjjRsnzZ0rfetb\n8dvkJXirNvO2f7/vfBvcLc+yWua9ZT1AKRe8bd3qS06XLu3/XB4allSaebvzTn9MXr48H/P54zpO\nhjNvUvS8t2rP3221DRGBWbOk7343/vm8XFCF0bCkvJkz/ZyUl1+WPvvZpEeTjHDwtmaNX6OqjSOS\npP6lTGvXSg895DuStrZKTz3lF/EeMaJ3m2q7VTWr447z8/5uvNEvixD+GjtWWrjQ3wzJy5IbpVx+\nuTRnjp9PG7WERF6qH0aN8hecld4w/I//8PvYMccM/tiSVq7FeRSCN+nSS6VbbpE+9zl/TA7QsMRb\nuVL64Aele+7Jz03ZUmWTp5/e+/+ByLxxqVSnGTN86jyujIDgLV5eG5ZI0ujRviX+7t3SmWcmPZpk\nhIM3Sib7Ks68XXONvxAPjiUnnij9/Od9953du/ORRenqkn7yk6RH0RyOP97f5b39dt/EpFheMm8t\nLT6w7+nxmdtyvv1t6QMfGPxxpUG5xYWj5D1427LFlyUvX+6X5DjttN7nsv7eVBK8PfKI9N73SsuW\nSW9+c2PGlQbVlE0+8EDfbao9f1M2WadDDpHe9Ca/s0bJem14lNGj/Yd7z57S2+U58yZJ8+dLV12V\n/TWW4hC8xQtn3jZskH72M+mSS3qf7+7uP+8tjzeKUF6pRbvzErxJlc9727xZ+uUvpbPPHvwxpUG1\nmbeDB7Of5a8k8zZ+vHTBBb7hWFjWr/nKLdK9YYO/qfitb/kS9jyJ+iwdPOg7bTLnLYVKNS3J4wVV\nS4s/UcatRxXIc+ZNkq67Lj8XCFHCwRudJvsKNyxZvFi67LK+ZYCzZ/ef95bHYw3KmzPHZwNWrOj/\nXJ6Ct0rnvX3ve9K55+bns1Rt5m39el81kuWbjqWCN+f8tc3hh/v95Kc/7VslkYfMW6mGJf/4j36d\nyfnzGzemtIgqm9y2zZ+7wwH9G98o/fa3PoERYJHuBATNJ6Lk9YJqwoTywVueG5agN3g7cMDP6Zo+\nPekRpUewVMDzz0s//rH04Q/3fX7WLH8RFb5oyOuxBqW1tEhf/KJ00UX9L7ryMudN8hfb5ZaYOHDA\nz2G/6KLGjCkNqm1Ycv31fasAsqhU8LZjh5+bPWyYD3xPPdWXJQeynnkrVzb52GPSu9/duPGkSdSN\nkOJmJZJfKmDiROmZZ3ofI/OWgFmz/F3wq6/2E1hXrPCp41278lsaWG7em3MEb3n3utf5rm5PPeXn\no4Sbb+RdkHkLLrq7uvo+P2SI9Na3Sv/1X72PEbwhzty50jvf6TtwhuUp8zZ/vl/3rlQ5/z33+HK4\nPFUBVLNUwO9+5zsIXnbZ4I4paaWCt61b/Y2AwIUX9pZOOpfvbpO7d/sbJJMnN3ZMaRFVNhkVvEl9\nSyedq/5YTPA2ACZP9nMKdu70c1Ouuko64wx/UBw5MtvlBXHKBW979/q7D3l8b+CZ+ezbz3/uG/+g\n19Chvlb+1lulK66I3mb27L7z3gjeUMqSJb5jaThLkKfg7V3v8kHZF74Qv02eGpUEqsm8/fM/S+9/\nv7+2ybJSwVtQMhk4/XTfkGLdOn9DurXVX9tk1bBh/r05eLD/c08+6a+Hs/z3lxL1WSpuVhKYOrU3\neAumEFVzPUy3yQFgFt3J6+DBvjWteVIueMtrRhJ9BcFbnu50V8LMZ9/OPddnJaN0d/t21YHdu7N/\nUYXadXRIP/iBL2k66SS/2HmegjfJZ95mzJAWLPAXT2G/+50/Fv3gB8mMLSmVZt5eesnPB4xrzpYl\n5TJv4TXL2tr89d/NN/slObI8303ywemhh/pkRfFyLGvX+qVc8iqubPLP/qz/tlOm9FbO1HLjlbzH\nIGppydeJMaxc8Jb3ZiXwOjsJ3uK8//1+gek4M2dKGzf2nizIvKGcmTN9M4G/+Rs/vytPc94kf176\n9Kf9+lPF3Te/9z3f3jzrF9/FKs28/cu/+MB/4sTBH1PSqimblKTzz/dTZl55JR/7T1zp5Jo1vvt6\nXkWVTcZl3sJlkwRvSI1KMm8Ebxg+3HddInjr7/rr/ecoTnu7z6DUc/cO+bNwoQ/cvvSl/GXeJJ+t\n3rnTX2wHgkYleSuZlCrLvL36qvTVr0qf+ERjxpS0asomJR+wjB8v3XVXtue7BUoFb3nOvAXrs4ZL\nSsvNeXOO4A0pUknmLU93fBFt+HB/Ipg0KemRNKfwvLesr72EgdHaKn3/+/7mwH//d/6Ct9ZWvwbV\nwoXS9u3+sXvv9e3vTzgh2bElobPTn4/37o3f5uabfdY2L1mVasomAxdeKH3jG2Te8hy8BV1Ig66+\ne/ZIL7wgHXFE/21Hj/bVeS+8UP0C3RLBGwZJsFRA1MKwEpk3eMOH+yUCaFxTm+7u3vXeajkBIJ8m\nTvTNJx58MJ/7zFve4kskg0zSt7+dr+UBwsxKl07u3+8D/UWLGjuuJFWbeZOkc87xnRbzkHkLr9Ea\n2L7d30B8/euTGVNahEsnn3/evx+trf23M+vNvpF5Q2oMHep3xrhyDBqWQPInATpN1u4tb5Gee85/\nziibRDUWLPANFqZNS3okyfinf/IZt2XL/A2Qc89NekTJefvbffDx3HP9n/vRj3ywcvLJDR9WYjo6\n/PE06uZz1Jw3yV+0z52b38zb2rU+M2uWzJjSInwjJK5kMjBlivT007VVzRC8YdCUKp3B4hI7AAAN\nf0lEQVSkYQkkac4c6eyzkx5F82pv9xdVDzxA8IbqXXednzeZR8OH++6TCxZIZ53lL0jzatky34xk\n5kzpppt6gxbnpMWL85V1k3rb/Ud1C48rm5Skyy+XTjllcMeWBlHBW95LJgPh4C2uWUmAzBtSafx4\nX2IQhbJJSNK8edI73pH0KJpbd7ef90bwBlRn/ny/juJHP5r0SJLV2uo7295/vy+nnT9f+v3vfWZy\n3z5/ky1vokon//AH34wiLtA/6SQfwGVdXPCWlzmRpYQbAJXLvAVrvRG8IVXKZd4omwTqN3u2L/si\neAOqY+azj8cem/RI0mH6dOlXv/Lvx/HH+8B24cJ8zkmOCt6CrFveSwOHDyfzFqfaskmCN6ROqeCN\nzBswME44wU+U37aN4A1AfQ45RPrCF6Q77vDHlnPOSXpEyYgK3uKaleRNZ2ffhiUHD0pPPEHwJlVX\nNvnGN0qbN/vlBQjekBqlgrfHH5fGjm3seIAsamuT3vY2lgoAMHBOPtkvKdHenvRIkhGXeSN46182\nuXmzz8aNHJncmNIiKJt0rnzmbcgQ341yzRqCN6RIXPC2ebP0ta/lbxI0MFi6u/2/BG8AUL9SZZN5\nVxy8UTLZK8i8vfSS/3+5gHbqVGn1aoI3pEhc8Pbxj0uXXVb6jgSAys2e7TNweb1LDgADibLJeFHB\nG81KvCB4C7Ju5eZHTpniS04J3pAaUcHb/fdLv/61nwQNYGDMmCF9/etJjwIAsoGyyXjFi3STees1\nalTf4K2cKVOk/fv92sjVIHjDoBkzxn/Ag7VS9u6VPvxhacmS6ndUAPFaW6WLL056FACQDYceStlk\nHMom43V1+Tlv5ZqVBKZO9f+SeUNqtLRI48b1rvX2ta9JEydKc+cmOy4AAIA4lE3GCwdve/dKGzdK\nxxyT7JjSorhsspwpU/y/1QZvbdUPDahcUDr5utdJ11wjPfQQa6QAAID0omFJvHDwtm6dNGkS6/YG\nRo70rf83bpTmzSu//Zgx0h/9EcEbUiYI3r75Temii6TJk5MeEQAAQLzi4G3XLp9lGjEiuTGlRXiR\nbkom+2prk4YNkx59tLLMm5l07LH+Pa3qdWobHlCZ8eOlZcukhx+Wnnoq6dEAAACU1tEh9fT0/j9o\nVkLlUO8i3c7RaTJKV5f03HN+mlAl7rxTGj26utdgzhsG1YQJ0r/9m3T99f5gCAAAkGbFmTdKJnsN\nGeKbZO3ZQ+YtyqhRfl+ptJT0sMP8+1kNMm8YVNOnS3/xF9JZZyU9EgAAgPKKgzealfQVzHtbu5bg\nrVhX1+B3VCd4w6A64wz/BQAA0AyiMm8Eb706O30/g+3bK5vblSddXT47OZgI3gAAAICCqMwbZZO9\nhg+XfvlL32yjhQlYfYweXf0ctmoRvAEAAAAFUZm3adOSG0/adHb6pZ8omexv0aLBXzqBeBkAAAAo\noGFJaUHwRqfJ/iZM8E1LBhPBGwAAAFBAw5LSOjulTZvIvCWF4A0AAAAooGFJacGi0gRvySB4AwAA\nAArCwdurr/qvrq5kx5QmnZ3SmDF+jTI0HsEbAAAAUBAO3rZulcaNk8ySHVOadHaSdUsSwRsAAABQ\nMGSIdPCgtG8fJZNRjjhCOvHEpEeRXywVAAAAABSY9WbfWOOtvw98IOkR5FtdmTczG2lmPzOzdWa2\n3MxGRGxzhJmtMLMnzGyNmX2kntcEAAAABlMQvJF5Q9rUWza5SNJ9zrkpklZI+mTENvslXeGcmybp\nJEmXmtnUOl8XAAAAGBQdHdLu3QRvSJ96g7e5kpYWvl8qaV7xBs65bc65Rwvf75T0lKQJdb4uAAAA\nMCgom0Ra1Ru8jXXO9Ug+SJM0ttTGZjZJ0gxJ/1Pn6wIAAACDgrJJpFXZhiVmdq+k8EoOJslJ+lTE\n5q7E7xkm6Q5Jf1/IwAEAAACpQ+YNaVU2eHPOnRr3nJn1mNlhzrkeMxsn6fcx27XJB27fd87dVe41\nr7zyyv//vru7W93d3eV+BAAAABgQZN7QaKtWrdKqVavKbmfOxSbLyv+w2bWSXnTOXWtmCyWNdM4t\nitjuFknbnXNXVPA7XT1jAgAAAOpx3nnS7NnSJZdIe/ZILayMjAYzMznn+i0PX++ueK2kU81snaQ/\nl7S48GKHm9m/F74/WdL7JJ1iZqvN7BEzO6PO1wUAAAAGRUeHtHGjNG4cgRvSpa5Fup1zL0p6Z8Tj\nWyWdWfj+F5Ja63kdAAAAoFE6OqRnnqFkEunDvQQAAAAgpKND2rCB4A3pQ/AGAAAAhASZNzpNIm0I\n3gAAAICQQw+Vdu4k84b0IXgDAAAAQjo6/L9k3pA2BG8AAABASBC8kXlD2hC8AQAAACEEb0grgjcA\nAAAghLJJpBXBGwAAABDS0SG1tkpjxiQ9EqAvgjcAAAAgZNgw6bDDpBaulJEy7JIAAABAyNSp0m23\nJT0KoD9zziU9hj7MzKVtTAAAAADQKGYm55wVP07mDQAAAACaAMEbAAAAADQBgjcAAAAAaAIEbwAA\nAADQBAjeAAAAAKAJELwBAAAAQBMgeAMAAACAJkDwBgAAAABNgOANAAAAAJoAwRsAAAAANAGCNwAA\nAABoAgRvAAAAANAECN4AAAAAoAkQvAEAAABAEyB4AwAAAIAmQPAGAAAAAE2A4A0AAAAAmgDBGwAA\nAAA0AYI3AAAAAGgCBG8AAAAA0AQI3gAAAACgCRC8AQAAAEATIHgDAAAAgCZA8AYAAAAATYDgDQAA\nAACaAMEbAAAAADQBgjcAAAAAaAIEbwAAAADQBAjeAAAAAKAJELwBAAAAQBMgeAMAAACAJkDwBgAA\nAABNgOANAAAAAJoAwRsAAAAANAGCNwAAAABoAgRvAAAAANAE6grezGykmf3MzNaZ2XIzGxGxzSFm\n9j9mttrM1pjZZ+t5TQAAAADIo3ozb4sk3eecmyJphaRPFm/gnHtN0mzn3AmSZkh6l5nNqvN1kUOr\nVq1KeghoQuw3qBb7DGrBfoNqsc+gFvUGb3MlLS18v1TSvKiNnHO7C98eIqlNkqvzdZFDHORQC/Yb\nVIt9BrVgv0G12GdQi3qDt7HOuR5Jcs5tkzQ2aiMzazGz1ZK2SbrXOffrOl8XAAAAAHKlrdwGZnav\npMPCD8lnzj4VsXlkRs05d1DSCWY2XNKPzexY59yTNYwXAAAAAHLJnKu9gtHMnpLU7ZzrMbNxklY6\n544p8zOflrTLOfflmOcpqQQAAACQa845K36sbOatjLslXSDpWknnS7qreAMzGy1pn3PuFTMbKulU\nSYurGSQAAAAA5F29mbcuSbdLer2k5yWd7Zx72cwOl3Sjc+5MMztOvplJS+FrmXPu6vqHDgAAAAD5\nUVfwBgAAAABojHq7TQI1M7PvmlmPmT0eemy6mT1kZo+Z2V1mNqzw+EQz221mjxS+bgj9zOfNbLOZ\n7Uji70BjDeB+859mttrM1pjZDWZGyXZGDeA+s9LMni7sN48UpgUgowZivzGzYaH9ZbWZvWBmkXP+\n0fwG8Fjz3sL2a8zsmiT+FqQXmTckxszeJmmnpFucc9MLj/1K0hXOuQfN7AJJRznnPmNmEyX9JNiu\n6PfMki/b3eCcG964vwBJGMD9Zphzbmfh+zsk3e6cu71hfwgaZgD3mZWFn1ndwOEjIQO13xT9zocl\n/b1z7heDPHwkYCD2mcKUpNWSTnDOvWhmNxV+38qG/jFILTJvSIxz7kFJLxU9fHThcUm6T9JfhZ6L\nzIw4534VrDeI7BvA/SYI3NolDVHMUidofgO1zxRw3syJAd5vZGaTJY0hcMuuAdpnjpK03jn3YuH/\n9xf9DHKOkxDS5gkze0/h+7MlHRF6blKhtGBl4e4WEKhpvzGzeyRtk7RD0h2NGSpSotZjzc2F56LW\nOkX21XOOeq+kZYM+QqRNtfvMM5KmmNmRZtYmaZ58Y0BAEsEb0udvJV1qZr+W1CFpb+HxrZKOdM69\nWdLHJN0a1I0DqnG/cc6dIelwSYdIOqWxQ0bCatlnFjjnjpP0dklvN7PzGj1oJK6ec9Q5km5r2EiR\nFlXtM865lyVdIt/N/QFJmyQdaPywkVYEb0gV59x659zpzrmZkn4oaWPh8b3OuZcK3z9SeHxyciNF\nmtSz3zjn9sqvWTm3saNGkmrZZ5xzWwv/7pJ0q6RZSYwdyan1WGNm0yW1Ml8yf2o81vzUOfdW59zJ\nktYXvgBJBG9InilU821mYwr/tkj6lKRvFv4/uvCYzOwoSX8s6dmI34V8qGu/MbMOMxtXeLxN0rsl\nPd3QvwCNVu8+02pmowqPt0s6U9Lahv4FSMJAnaPOFVm3vKh7nwn9zEhJH5L0nQaOHynXlvQAkF9m\ndqukbkmjzGyzpM9K6jSzS+WbR9zpnLu5sPk7JH3OzPZKOijp4kJpgczsWkkLJA0t/J7vOOc+19A/\nBg0zEPuNmY2VdLeZDZG/ibVShRMqsmeA9plDJS0vBPut8o0HbmzsX4JGGqhzVMFZkuY0auxIxgDu\nM18xs+MLP3OVc+6ZBv4ZSDmWCgAAAACAJkDZJAAAAAA0AYI3AAAAAGgCBG8AAAAA0AQI3gAAAACg\nCRC8AQAAAEATIHgDAAAAgCZA8AYAAAAATYDgDQAAAACawP8B40nnxgNPeRsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f0bad90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Take first difference:\n",
    "ts_log_diff = ts_log - ts_log.shift()\n",
    "plt.plot(ts_log_diff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JAaBNmzaVLiMuLq7M/Y0bN6ZZs2ZVvm5YWFjJ/76+vmRmZgJw9OhRZsyYwS+//EJOTg6F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4T7sSu9BHj1VTS8tRgvNp6MoUVqZOJYsU0C4XUXXpAmUXjVtES0TIDVvQEhUsuzbzH1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\nAIA2QPAGAAAAAG2A4A0AAAAA2sD/BwsGfqeGm+2VAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f36e490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -2.717131\n",
      "p-value                          0.071121\n",
      "#Lags Used                      14.000000\n",
      "Number of Observations Used    128.000000\n",
      "Critical Value (5%)             -2.884398\n",
      "Critical Value (1%)             -3.482501\n",
      "Critical Value (10%)            -2.578960\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "ts_log_diff.dropna(inplace=True)\n",
    "test_stationarity(ts_log_diff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decomposition:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Wzpwq6yQtzQqZxsVZkcH77gMef7zo/va1nBxbvvPGG9Zi8m9/K19tjNRU+9tZ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\n6cCqGzYEL12kOnTQ6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4BatYL/mQ0aAHPner/+2bNAq1bAd98BK1cC99/v2+cV\nLuzb+q4uvRSYOhX48EP97Ozs2gVs367fL1LFxABlywL//GP9vufMAU6fBh5/3Pp9h4vGjYHKlYFb\nbgFefhn45Rfg3LmL13v9deCee4AWLbLfX+XKwL33AmPHun9/xAjgttt0HW8ULgzExnq3bm7SsSPQ\npAlQtSowZAiQmup+vcRE4IkngEGDgOuuC20aA9W1KzB8eM7rzZ0b2fcwIgofDzwAjBwJ/PYb8Pvv\nmr+g4DAGGDYM6NMHOH48OJ9x5AjwwgvAxIlAwYLB+YxQiYkB3n9fn41a/+ze7NnAv/8Cr7568XtX\nXw38+CPw3HPAhg2Z30tM1Dzeyy8DDRtam3ZSl1wCfPIJ8MorQFKSb9uuWAHUqBGcdLkykt3ZldPG\nxhQB8C2AWAB7ALQSkdNu1msI4BMAeQCMEZGBzuW9AXQEcNS5ak8RmePhsySntL74oh70IUP8+z5W\nO30aqFRJf/yTJ4G8eYP7eRcuACVLAgcOAIUKZb+uCNCoEVCqlD4EL788uGnzZPp04LXXgDVrPAdE\n+vUDjh0DPvsstGmz2gsvANdfrzcEq4gAd90FvP020LKldfsNRw4HsHatZtjmzQNWrQLuuAN48EGg\nfn3g6FF9YK5fn/P5D+hNtk0bDY7ly5exPD5ef6cFC4D/+7/gfZ/cZPt2oHNn4NQp4KuvgDvvzPx+\n9+5AXJwGU42xJ43+Sk0FKlYEfvpJz0dPbrgBmDRJgzlERBRZXnoJSE7WPLOVRICmTYFbbwU++MDa\nfdslLQ24+26gWzfgqacufj8pCbj5Zg0MNWrkeT+TJgHvvqsVnTExeqw6dNDyztSpkZdfiDRNmwI1\nawI9eni/Ta1aQO/eGmQNlDEGIuL2Vw40gDEQwAkRGWSM6QGgiIi8lWWdPAC2AbgfwEEAqwC0FpEt\nzgDGWRHJMeSQUwBjzx7NGG7eDJQo4fdXstzgwcDSpcCMGaH5vPr1taDcvHn2602cqIGelSs16GOn\nl17Swsu0aRffjES0tnziRKB6dXvSZ5XJk/U7/vijdfv86Segb19g9WogT1S1p8rZ+fPA4sUZAY1t\n27SWu25d7/dx331asG7TJmNZz55aGzJmjPVpzs1EgG++Ad54A2jdWmtorrxSWxA9/zywbp22XItE\n/fsDO3d6Pmf27AGqVQMOH8591ykRUTQ4dQq48UZtOZBdsNpXo0drq88VK7R1crRYtUoLwJs3X1xB\nOWCAfl9vykZvvQX89Zfm8778UitBli8HChQITropw7Zt2qr54EHvzs2UFKBIEV3/qqsC//xgBjC2\nALhPRI4YY0oBWCgiN2RZpwaA3iLSyPn3W9A+LQOdAYxzIvKxF5+VbQCjQwdtchRu0UsRjTSGqoXD\nkCHA1q16kXty9Kg2xZ89OzxqA5OS9ALp0EFr0F2tXAm0bavfKdIjrfv360Pv6FFrvovDoRH7/v21\nmX5ul5zs+8N/1iztcrZmjf4mBw/qtbFuHVCuXHDSmdsdP65BjPnz9X7ds6fWstSpY3fK/Hf0qAZa\nd+50H4T58kvtSvjNN6FPGxERWWP0aODrr7Vi0op83M6d2tx+0SLgppsC31+46dxZK0ldW1Dv3w/c\nfrvm7ytWzHkfaWnAI49onnf1ag1eeLMdWePee7WV90MP5bzu6tXAM89c3O3HX9kFMAKtCyohIkcA\nQEQOA3DX9qEMgP0ufx9wLkvXzRizzhgz2hjjRcPvi23dCvz8s/Z/DzfGhLZ7Rvo4GNnFpV55RZt0\nhUPwAgAuuwz49lttSbBmTeb3Jk7UAEakBy8ALRBfeSWwZYs1+/v+eyB/fuDhh63ZX6Tzp+aicWPt\nAvDbb/p3377a55LBi+CJidEM4MSJWgvTvn1kBy8AbfX30EP6vdzh+BdERJGvQwetLHnpJWDZMq1x\n9ldamubFe/WKzuAFAPzvf9o1dO3ajGVvvAF06eJ9ECJvXm3BnJCg+QYGL0KrdWsto3kjVONfAF60\nwDDG/AagpOsiAAKgF4BxIlLUZd0TIlIsy/YtATQQkeedf7cFUE1EXjLGFAdwXETEGPMBgNIi8qyH\ndMiYMYLDh3WwTtd/Dx7Ui8TKsQUilQhQvrwWyG644eL3Z8/WsUI2bNDCbziZOlX7uq1erU2PUlKA\nMmX0goiWG9bTT2trk06dAttPampG/8H69a1JW241YYK+Pv9c++5t26ZN4Cj40h8/0RCgXL4caNdO\nzx/XbiIpKUDx4hpoL1nS8/ZERBT+du0CvvhCWxHu3g3Urq39/R94QLuYePs8GzBAB2CdNy+6uxaO\nHq0Dpi9dqi1N2rfXwTvDrQxC7h0+rOf1wYPAFVdkv267dloh9azbkrzvsmuBkc/dQlci8mA2Oz5i\njCnp0oXkqJvV4gCUd/m7rHMZROSYy/JRAH7OLi3DhvVBwYI6Qm/16nXw4ot1ULq0DkR55ZU5fZPc\nwZiMVhhZAxjnzun4GGPGhOeNo3VrHTixUyeNts6dq4OgRkvwAtAHXfp3DMTkyVooetDj1UneatNG\na0DatAHefJPBi1CKhsBFuho1NPA6d27mQcn++gu45hoGL4iIokHFijq+HaADzP/xhwYzhg7VLtGN\nGmnLilq1PAcm1q7V9XPD+GUdOgCjRmkgY9gw7eoejmUQcq9UKe3+/uuvOc/wt3y5jlnir4ULF2Lh\nwoVerWvFIJ4nneNZeBrEMy+ArdBBPA8BWAmgjYhsNsaUcnY9gTHmFQB3icgTHj4rx1lISE2bpkGK\nX3/NvLx7d50ZxVMz53CQkKCD3b30kkam77tPgy7RYts2na52wQLtN5/+OnYs4/+ANkd/6CH3hemU\nFA1OjR2rx4cCN3SoPlS3bcs5wkzkyZgxOrPSL79kLOvVS5sKDxhgX7qIiCj4du3SgdrHjdP87NNP\nazCjQoWMdRISdCaunj2BJ5+0K6WhtXq1zkpSp44G+aOp8iI3+OorLZNl15Xk2DGtdD550rqgXDAH\n8SwK4DsA5QDshU6jGm+MKQ1glIg87FyvIYBPkTGN6ofO5RMA3AbAAZ2GtVP6mBpuPosBDC+dOqXd\nSI4ezSiM/fUX0KwZsHEjUKxY9tvbbfNmbamQnKwPg3BPry9ENJJ55oz2m3d9FS+u/yYmAjNnalS/\nRg393Zo100FqAY1kf/utRvzJGmlpwIkT4TWDEUWeCxf03rtqlba6AHSa48GDQz/OR4UKFbB3797Q\nfihlKzY2Fnv27LE7GUQUZCI6ptvXX2v36CpVdHDDli01qH3wYO6bBnTMGJ0lLppaVecWx48D116r\nM0YWLOh+nV9+0RY28+ZZ97lBC2CEEgMYvqlZU+fhrV9fAwFVqwLvvKPdNCLBlCk6QJLryMW5zfnz\nOsXk9Ok6dsn11+v0uCNG6IPv7rvtTiERZfXaazro2KBBGQ/9Y8dCPz2e88Ef2g+lbPE3Icp9kpJ0\nooFx44A//9TpP9evj9xpwyl3atxYx7ho08b9+716acuLfv2s+0wGMHKhfv20u8jHH+tUhStW6A00\nN0V7o0lyMrBwoQYz8uXL3YEdonC2Y4cGF/ftA376SYOxM2eGPh0sLIcf/iZEuduhQ9rKNr2FHlGk\nGD9eyyA//eT+/fvv1wqcxo2t+0wGMHKhlSt14Jxp03QgodWrtWkzEREFV6NGwOOPa9CxWjWdMi7U\nWFgOP/xNiIgoEp0+reXIvXuBwoUzv5eWpmP27d5tbbf/7AIYUT72be5VtapOffP449qVhMELIqLQ\n6NpVp+WdO1dnhSIiIiKKVIUK6RgmM2Zc/N6//wKlS4d2zEIGMKJU3rw6xWaBAtE1iwcRUbhr1EgH\nhS1QQMfAoNC4+eabsXjxYrfvLVq0COXKlbPkc+rWrYuxY8dasi8iIqJI0Lq1jsGX1YoVOulAKOUL\n7cdRKH38sY6XkDev3SkhIso98ubVKfLi4uxOSfiqUKECjh49inz58qFgwYJo0KABhg8fjvz58/u9\nz40bN2b7vuEgUERERH5p0gTo1EkHKI+JyVhuRwCDLTCi2NVXc1pIIiI7dOwI9OljdyrClzEGs2bN\nwpkzZ7Bu3TqsXbsWAwYMsDtZRERE5EaBAkDDhsCPP2Zevnw5AxhERESUC6QPaFmiRAk0aNAA69at\nAwAkJyfj9ddfR2xsLEqXLo0uXbogKSkJAHDixAk0adIERYoUQbFixXDffff9t79rrrkGf/zxBwAg\nMTERzzzzDIoWLYqbb74Zq1atyvTZefLkwa5du/77u3379njvvfcAAPHx8WjSpAlKlCiBYsWKoUmT\nJojz0Jxm586dqFOnDgoXLowSJUqgjac55oiIiCJc1m4k8fHA/v3ALbeENh0BBTCMMUWMMfOMMVuN\nMXONMYU8rDfGGHPEGLPen+2JiIgoOh04cAC//vorKlWqBADo0aMHduzYgfXr12PHjh2Ii4tDP+fk\n8h9//DHKlSuHEydO4OjRo+jfv7/bffbp0we7d+/G7t27MXfuXIwfPz7T+9l1J3E4HOjQoQP279+P\nffv2IX/+/OjWrZvbdd999100aNAA8fHxOHDgAF588UV/DgEREVHYa9QIWLtWpwQGdNbLqlV1yIJQ\nCrQFxlsA5otIZQB/AHjbw3pfA3A3Fru32xMREVEUadasGa666iqUL18eJUuWRB9nn5tRo0Zh6NCh\nKFSoEAoUKIC33noLU6ZMAQBccsklOHToEHbv3o28efOiZs2abvf9/fffo1evXihUqBDKlCmDl156\nKdP72U1nWrRoUTRv3hyXXXYZChQogLffftvj4KCXXHIJ9u7di7i4OFx66aW45557/DgSRERE4e/y\ny3UsjGnT9G87xr8AAg9gPAIgvVpjPIBm7lYSkaUATvm7PREREVnLmMBfgZgxYwbOnDmDhQsXYsuW\nLTh+/DiOHTuGCxcuoGrVqihatCiKFi2KRo0a4cSJEwCAN954A9deey3q16+P6667DgMHDnS774MH\nD6Js2bL//R0bG+t1uhISEtCpUydUqFABhQsXxn333Yf4+Hi3QY/BgwfD4XCgWrVquOWWW/D111/7\neBSIiIgih2s3EjvGvwACD2CUEJEjACAihwH4OmRkoNsTERGRH0QCfwX2+bqD2rVr4+mnn8brr7+O\nmJgY5M+fH5s2bcLJkydx8uRJxMfH4/Tp0wCAggUL4qOPPsLOnTsxc+ZMDBkyBAsWLLho36VLl8b+\n/fv/+3vv3r2Z3s+fPz8uXLjw39+HDx/+7/8fffQRtm/fjlWrViE+Pv6/1hfuAhglSpTAV199hbi4\nOIwcORJdunTJNLYGERFRNHngAWDrVmDvXuCvv+wJYOTYY8UY8xuAkq6LAAiAXm5WDzA7k/32fVyG\ndK9Tpw7q1KkT4McRERGR3bp3745rrrkGGzZsQMeOHdG9e3d8/vnnKF68OOLi4rBp0ybUr18fs2bN\nwg033IBrr70WV155JfLly4e8buYKb9WqFQYMGIBq1arh3Llz+PzzzzO9f/vtt2Py5Mn44IMPMG/e\nPCxatAh33XUXAODcuXO44oorcNVVV+HkyZOZ8h5ZTZs2DXfffTfKlCmDwoULI0+ePMiTh+OjExFR\ndLr0UqB5c+CDD4BChYBSpazZ78KFC7Fw4UKv1s0xgCEiD3p6zzkwZ0kROWKMKQXgqNepVD5tn10m\ngoiIiCJD1kE0Y2Ji8NRTT+H999/HpEmT0LdvX9SoUQMnTpxAmTJl8MILL6B+/frYvn07unXrhuPH\nj6NIkSLo2rUrateufdE+e/fujc6dO+Oaa65BmTJl0L59e3z66af/vf/JJ5/g6aefxvDhw9GsWTM0\nb978v/e6d++OJ554AjExMShTpgxee+01zJw5023aV61ahe7du+PMmTMoWbIkhg0bhgoVKlh9uIiI\niMJG69bAgw8Cjz9u3T6zNk7o27evx3VNdgNZ5cQYMxDASREZaIzpAaCIiLzlYd0KAH4WkVv83F4C\nSSsREVFuYYzJdqBKCj3+JkREFA1SU4EyZYCePYGXXw7OZzifmW5H2wo0gFEUwHcAygHYC6CViMQb\nY0oDGCUiDzvXmwygDoBiAI4A6C0iX3va3sNnMYBBRETkBRaWww9/EyIiihY//QTcdZcGMoIhaAGM\nUGIAg4iIyDssLIcf/iZERETeyS6AwZGmiIiIiIiIiCjsMYBBRERERERERGGPAQwiIiIiIiIiCnsM\nYBARERERERFR2GMAg4iIiIiIiIjCXj67E0BERETWio2NhTFuB+8mm8TGxtqdBCIioogX0DSqxpgi\nAL4FEAtgD4BWInLazXpjADwM4IiIVHFZ3htARwBHnYt6isgcD5/FaVSJiIiIiIiIolgwp1F9C8B8\nEakM4A8Ab3tY72sADTy8N0RE7nC+3AYvIt3ChQvtTkKuxONuDx730OMxtwePuz143EOPx9wePO72\n4HG3B4976EXqMQ80gPEIgPHO/48H0MzdSiKyFMApD/uI+jaukXpyRDoed3vwuIcej7k9eNztweMe\nejzm9uBxtwePuz143EMvUo95oAGMEiJyBABE5DCAEn7so5sxZp0xZrQxplCA6SEiIiIiIiKiKJRj\nAMMY85sxZr3La4Pz36ZuVvd1kIoRACqKyG0ADgMY4uP2RERERERERJQLBDqI52YAdUTkiDGmFIAF\nInKjh3VjAfzsOoinj+9zBE8iIiIiIiKiKOdpEM9Ap1GdCeAZAAMBPA1gRjbrGmQZ78IYU8rZ9QQA\nWgDY6GljT1+AiIiIiIiIiKJfoC0wigL4DkA5AHuh06jGG2NKAxglIg8715sMoA6AYgCOAOgtIl8b\nYyYAuA2AAzoNa6f0MTWIiIiIiIiIiNIFFMAgIiIiIiIiIgqFQGchybWMMWOMMUeMMetdllUxxiwz\nxvxjjJlhjCnoXB5rjLlgjFnjfI1w2eYO56Co24wxn9jxXSKFhcf8A2PMPmPMGTu+R6Sx4rgbY64w\nxvxijNnsHAi4v13fJ1JYeL7/aoxZ6zzuI4wx7I7ngVXH3GXbma77IvcsPNcXGGO2OM/3NcaYGDu+\nT6Sw8LhfYoz50hiz1RjzrzGmuR3fJ1JY9Ewt6HKerzXGHDPGcCB8Dyw819sYzbOvM8bMNtoSnTyw\n8Lg/7lx/gzFmgB3fJZL4ctyzvLfR+f6lzuXhW0YVEb78eAG4F9r9Zb3LspUA7nX+/xkA/Zz/j3Vd\nL8t+/gJwl/P/swE0sPu7hevLwmNeDUBJAGfs/k6R8LLiuAO4AsB9zv/nA7CY53rwj7vzvYIu/58G\n7epn+/cLx5dVx9z5fnMA32S3Dl/WHncACwDcbvf3iZSXhce9T/p6zr+L2v3dwvll5X3GZfu/AdS0\n+7uF68uifExeaDf4Is6/BwJ4z+7vFs4vi457UegwBUWdf38NoK7d3y2cXz4e97wA/gFws/PvIsjo\noRG2ZVS2wPCTiCwFcCrL4krO5QAwH0BLl/cuqvU0OnPLlSKyyrloAoBmVqc1WlhxzJ37WSkca8Vr\nVhx3EUkQkUXO/6cCWAOgbBCSGzUsPN/PAVpLCuBS+D7dda5h1TE3xhQA8AqADyxPZBSy6rg7MV/j\nJQuPewcA/9WKishJyxIZhSw+32GMuR5AcRH507pURheLjnn6siudLRmvAnDQ0oRGGYuOe0UA21zu\nK79n2Yay8PG41wfwj4hsdG57SkQk3MuofNBba5Mxpqnz/62QuYBWwdkkaoEx5l7nsjIADrisc8C5\njLzn6zEna/h93I0xhQE0gT6EyDd+HXdjzBwAhwGcgbbCIO/5c8zfB/ARgIRQJTIK+XuPGed8r1do\nkhl1fDruxphCzvc+MMasNsZ8a4wpHsoER4lA8jKPA/g26CmMPj4dc2flSxcAG6D59RsBjAllgqOE\nr+f6DgCVjTHljTH5oIXociFMb7TwdNyvBzSfaIz52xjzhnN5WJdRGcCwVgcAXY0xqwAUAJDsXH4I\nQHkRuQPAawAmu/Y9ooDwmNvDr+NujMkLYDKAT0RkT2iTHBX8Ou4i0hBAaQCXAagX2iRHPJ+OuTHm\nVgDXishMuJk+nLzmz7n+hIjcAqAWgFrGmLahTnQU8PW454NmhJeKSFUAKwB8HPpkR7xA8jKtAUwJ\nWUqjh6/39nwAXgBwq4iUgQYyetqQ7kjn03EXkXjocf8OwCIAuwGkhT7ZEc/Tcc8HoCaANtBnZ3Nj\nTF17kui9fHYnIJqIyDYADQDAGFMJwEPO5clwnigissYYsxMa8YpD5ihiWecy8pIfx3yNTUmNKgEc\n968AbBWRz0Ke6CgQyPkuIsnGmJkAHgFbv3jNj2NeDUBVY8wuAJcAKGGM+UNEGDjygT/nuogcci4/\nb3T69mrQcUjIS74ed+f/z4vIdOcuvodmlMkH/t7bjTFVAOQVkbV2pDuS+XHM8+ii/ypfvgPQI8TJ\njnh+3ttnAZjl3KYjGMDwmafjDm1ZsVhETjnfmw3gDgCTEMZlVLbt+ml7AAACIUlEQVTACEym2rX0\nZpPGmDwAegEY6fw7xrkMxpiKAK4DsEtEDgM4bYyp5uxP9xSAGaH9ChEnoGPuZl/knYCPuzHmAwBX\nicgroU16RAvouBtjChjtxwhn7dFDALaE9BtEnkDv6yNFpKyIVIQOpLWVwQuvBHqu5zXGFHMuvwTA\nwwA2hvQbRCYrnqk/u9TYPQDg39AkPaJZlZdpA7a+8FagxzwOwE3p9xkADwLYHLLURy4r8o/p2xSB\nduMZHcL0RyqvjjuAuQBuMcZc7swn3gdgU7iXUdkCw0/O2p06AIoZY/YB6A0d2KcrdJC8H0VknHP1\n2gD6GWOSATgAdHI2iQKArgDGAbgcwGwRmROyLxFhrDrmxpiBAJ4AcIVzP6NFpF9Iv0wEseK4G2PK\nQJtabjbGrHVu97mIjA3tt4kcFh33EgBmGp0SKw90loaRILcsvK+TDyw61/MDmOvMgOWFDlI2KrTf\nJLJYeL6/BWCiMWYogGMA2ofuW0Qei+8zjwFoHKq0RyqLjnm8MaYvgCXO9/ZCZ3MgDyw81z812j1T\nAPQVkR0h/BoRx5fj7nx+DoHOZOQAMMulLBq2ZdT0aVKIiIiIiIiIiMIWu5AQERERERERUdhjAIOI\niIiIiIiIwh4DGEREREREREQU9hjAICIiIiIiIqKwxwAGEREREREREYU9BjCIiIiIiIiIKOwxgEFE\nREREREREYY8BDCIiIiIiIiIKe/8PGjBtzw+r6vQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f378110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "decomposition = seasonal_decompose(ts_log)\n",
    "\n",
    "trend = decomposition.trend\n",
    "seasonal = decomposition.seasonal\n",
    "residual = decomposition.resid\n",
    "\n",
    "plt.subplot(411)\n",
    "plt.plot(ts_log, label='Original')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(412)\n",
    "plt.plot(trend, label='Trend')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(413)\n",
    "plt.plot(seasonal,label='Seasonality')\n",
    "plt.legend(loc='best')\n",
    "plt.subplot(414)\n",
    "plt.plot(residual, label='Residuals')\n",
    "plt.legend(loc='best')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cXBzz58+nR48edOjQgbvvvptbbrmFiIiIqnsyfuL4cfPPNDS07G3tGjSAs2fN\ne7DE9E4hhBCiUHkCO2+WYubm5nLq1CkCAgJQShX7GhAQQEhICEFBQV7pM1AZ9m6YK1cWv75hQzh4\n0Ddj8ncS2HmBs4xdy5YmiJGFjYtzFdi98847REZGMmzYsFK32TtjOpZvtm3blg0bNnDjjUM5dmwY\nTZrM45//XMS//jWdSy+9lO+++46uXat31W9qKriLSevVg1OnYMiQKzly5IjL7bp27crrr7/OK6+8\nwrfffsv8+fMZP348w4YNY+rUqZYuqO7vyluGCSa7bG+g0qWLd8YlhBCi+tu0CZ5+2rNtvVGKmZ+f\nz4cffsjkyZPJyspCa01BQUGxr/n5+eTm5pKXl0dISEixS7du3XjyySe58sorfRL0rV9vlrnq0KH4\n9eed51mTvHORTLTxAmcZu+Bgszjl/v0+GZLfchbYpaSkMHXqVGbPnu30g8TVWnYxMTHMnLmSiIhg\nkpMb8uOP3/HFF1/wxRdfVPugDjwrxTx92vP9hYSEMGTIEL744gv27NlDnTp16NixI6+88gpnz56t\n/ICrgeRk94vGuiJLHgghhHCnoKDsxik5OTl88803/Pzzz+Tl7SM11ZrF2bTWLFu2jK5du/Lee+/x\n6aefcvz4cVJTUzl58iSnTp0iLS2NM2fOkJmZSW5uLvn5+aSlpZGcnMyePXvYtGkT/fv357777uPy\nyy9n8eLF5OXlWTI+TzkrwwQpxXRHMnZekJ5eOrCDonLM8qyZVdM5y5j89a9/ZdSoUXR0nCnrwN1a\ndgkJoVx77UL27n2Zl19u5nEJRHVgdWDn6LzzzmPGjBk8+OCDPPnkk8ydO5cZM2YwZMgQvyvNsFJF\nMnYgSx4IIYRwLz7eVBa56pemtWbMmDFs3LiRiIgIdu5MJi3tMG+9VZsmTZrQpEkTIiMjCQ8PJyws\nrNjXqKgoWrRoQYsWLWjevDl1HMrENm7cyIQJEzh27Bj/+Mc/GDx4sEf/xwMCAggNDSXUYW7CQw89\nxP3338/XX3/NjBkzeOaZZxg/fjz3338/tWvXrvRr5E5+vumG+eOPpW9r2FCap7gigZ3FcnMhLw9q\n1Sp9W02cZ3f69GmUUoSGmuUHyhsEHD5sulzarVu3jh9++IGdO3e6vI+rjB3Anj3Qvr0iNbVZmUse\nVDeezLGraGBnd+GFF/LVV1/xww8/MH78eN566y1ef/11OnfuXLkd+6mKBnZt2pj3Wk2Xl5fHLbfc\nwq233srE6Ge8AAAgAElEQVSdd97p6+EIIUS1Udb8urfeeouNGzeyfv166tSpwzvvwObNmunTT5Kc\nnExycjKnT58mIyODjIwMMjMzycjI4NixY+zatYvFixdz4MABkpKSqF27dmGAt3//fqZMmcLdd99N\nUFDlD/MDAwMZMmQIQ4YMYcOGDUyfPp133nmHBQsW8H+erONQQevWmaC4ffvSt0nGzjUJ7CxmL8N0\nFt9YHdhlZ2ezb98+YmNjrduph44ePcqTTz7J559/TmBgIGfPniUnJ4fg4GBCQ0OpVasW9evXp1Gj\nRjRq1IiGDRsWft+8eXM6depEw4YNOXxYFZZiOjZMcdfIw13GbvduGDAAtm41mdOaxJOM3eHD1jxW\nv3792LJlC/PmzeOaa67h5MmTKKVKXW655RbefffdYmf4qpPk5IrNk2vdGlassH48/uatt97iyJEj\nPPfccyQkJPDcc8/V6AyuEEJYxV1g98MPPzB9+nQ2bNhQmG2LiIAzZxTR0dFER0cXW5/XHa01qamp\nHDhwgJSUFK666iqvrWXbo0cPvvrqKz7++GP69+/P2LFjefbZZy0JIEv67DPnZZgAMTHmmMjeId3f\nffDBBxw9erTwd2u/REVFUbdu3cLkSGBgYKn75uXlkZGRQXp6euFXdySws1hGRunGKXYXXABr11r3\nWLt27aJ///5cdNFFjBs3jv79+3t9fbKCggLeffddJk2axKhRo0hJSSn8UNJak5OTQ05ODtnZ2Rw/\nfpwjR44UXlJSUti9ezcJCQls374dgKysjkRFdSIhoROJiYlER0dz++23ux1DWYHd+PHmd3AuBna7\ndln3eEFBQTzyyCM89NBD5Ofno7UudsnJyWH06NEMGjSIzz//vFp21Tx0CPr3L//9zoU5dvv372fa\ntGmFBx6DBg0iPj6euXPnEiIdoIQQwq1Nm+Bvfyt9/Z49exgxYgSLFy+mVatWhddXtHmKUoqYmBhi\nYmIqPthyGj58OFdeeSWjR49m2bJlLFiwgAsvvNCy/dvLMNescX57cLA55klNdV3q6i/OnDnDY489\nxsMPP8zevXs5ceJEsUtaWho5OTmcPXsWpVRh45rAwMDC+Y916tQhPDy88Ks7EthZzNX8OrA+Y9e1\na1f279/P4sWLef755xk/fjxjx47l7rvv9spB9tatW3nooYdQSrFy5cpS5Xn2kszQ0FAiIiJo0KAB\nHUq2MrLRWnP06FHato3joovi+OOPP0hMTGTOnDllZgSio80fc+l9mvK4tm3N76AmlWJmZZkPOncn\n4Sozx84dezvkkmrXrs1nn33GI488Qt++ffn2228577zzrB+AF1W0FLNVK0hMNO+5mpjA0lrzyCOP\n8MQTTxT+s16zZg133HEHAwYMYMmSJUQ6tqUVfuNf/4Krrzb/b4QQvpGfD5s3l26ccvr0aW688UZe\nfPFFrrrqqmK3Vbd17Jo1a8aKFSuYM2cOPXv25IUXXig8RqysAwfM8lbuelLYyzH9PbD78ccf6d69\nO6+88kqZ2+bn5xcmSPLy8ggPDyc0NLTUa+ruNZbAzmLuMnZt2piGC1amjkNDQ7nrrrsYMWIE69ev\n5/XXX2fKlCmMHDmSUaNG0aVLl0r/kaWlpfHCCy/w4YcfMm3aNO69995KZwaVUkRGNiQrqyETJ15T\nrtcjKgr27i19fXKyCegiI2texs6erXP3q4yMNMsdVKXAwEDeeecdnn/+ea644gpWrFhB69atq3YQ\nlVDRwC483JTNlHdx8+pi8eLFJCUl8dRTTxVeV6dOHZYuXcr48eO54oorWLZsGS1btvThKIUzb79t\nTgBJYCeE7+zZYwKPqKii6/Lz8xk2bBj9+vXjgQceKHUfb65j5y0BAQGMHTuWfv36MWLECN59910a\nN25McHBwsUutWrXo2LEj3bp1o0uXLtRy1ojCwYEDZpkwd+yBnYs+e35j+fLl3HDDDR5tGxgYSO3a\ntSvVmEYCO4u5y9jVqWPOyBw+XLEW6+4opejVqxe9evXiwIEDzJ07l6FDh1KrVi2GDx/O8OHDXabJ\n8/PziY+PZ+fOnezfv58DBw6QmJjIgQMHOHDgACdPnuT2228nLi7O0ozMkSOms1F5Y0RXzVN27y5q\nxFLTMnYnTrgvwwTvZezKopTihRdeoGHDhlx55ZUsW7aMLtVggbe8PLNAeUWX7bOXY9a0wO7kyZOM\nHz+e//znP6VKLgMDA3nzzTd5/fXX6dmzJ3/88cc5te6hv9PaVIVIUwEhfGvTptLZumeeeYbc3Fxm\nzZrl9D7eWMeuqrRv354NGzawZs0asrKyyM3NLXbJyMhg27ZtvP/+++zZs4cOHTrQrVs3unXrRq9e\nvUodn3oS2FWHzphaa5YvX86yZcuq7DElsLOYu4wdmLOoe/daH9g5atGiBdOmTeOll15i48aNfPzx\nx/Tu3ZsmTZoUBnjbt28vvOzZs4dGjRoRGxtL69atadmyJZdffnlhK91GjRp5Ze6eq8XJy+Jqjp29\nDBPM78DVPLzqqKz5deC7wM5uzJgxNGjQgH79+rFgwQIaNmzIvn372LdvHwkJCYVf09LSCAoKIigo\niMDAwMLv3f1cv379wvbPjpdmzZqVeebPlZQUMwG7onO+Gzf2/38qFTFhwgRuvvlmevTo4XKbxx9/\nnMTERKZMmcLbb79dhaMT7qSmmjP+NfF9KUR14tg4paCggNmzZ/Pll1+yceNGl41GqmPGzlFwcDDX\nXnttmdtlZmayZcsWfv31V77//nsmTpxIeHg4AwcOZMCAAVx11VUcOBBKixbu91MdOmPu2bOH/Px8\nl9OSvEECO4u5y9hB0Ty7EqXVXqGUonv37nTv3p3XXnuN1atX89FHH7Fq1SpiY2O57rrrGD9+PB06\ndChzMqY3VCaw8yRjd/Bg5cbnT6pDYAdw2223Ub9+fe655x7q1atHmzZtaN26Ne3bt6d///60adOG\nevXqkZ+fT15eXuFX+8XxZ/v3ubm5pKamkpycTFJSEhs3buTQoUOF7aCbNGlCu3btaN++Pe3ataNd\nu3Z07NixzOxyRcsw7VzN9czNzeXo0aM09ebZGy9Zs2YNy5cvL2xu5M6kSZNo374948aNo72zftSi\nytnncPv7wY4QNd2mTXDTTZqlS79g8uTJhIWF8fXXXxMdHe3yPtVtjl1FhYWF0bNnT3r27AmYrNbW\nrVtZtmwZU6dOJS4ujqioPvTpcwtaj3A5nahhQ///rPvuu++44YYbqrSbtAR2FisrYxcbC3FxVTce\nu8DAQK655hquueaaqn9wFyoa2EVHO8/G7d4Nffua72vqHDt3fDHHzplrrrmGxMTEKnms3NxcEhIS\n2L17N7t372bTpk0sWrSIP//8k40bN7oNODwJ7FJTU3n88cfp1KkTgwcPpkOHDoUf0PXrF51g0Frz\n66+/snDhQj799FNycnJo1aoVt9xyC7fccku1CHyys7N58MEHeeutt6hbt26Z29evX58JEybwzDPP\n8OWXX1bBCEVZ4uPNZ59k7ITwndxcze+/f8cTT/wNpQqYPn06AwcOLPPgvlYt03QlJwfOpcbDSim6\ndu1K165dee6550hNTeXqq79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hh94dk7+yqnlKfj7s3et8Id5zsRRTAjvXRo8ezciRI7nj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2q3fTtLzU+Zov26WoLe06K6QgUaRUYXqtnZzNsx2/jWbuwqnqK21gh2KlfmdWumWqNzfh1gPMdO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\nYidJkiRJOe7/A8BBFjvT7bUMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f75c110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                -6.332387e+00\n",
      "p-value                        2.885059e-08\n",
      "#Lags Used                     9.000000e+00\n",
      "Number of Observations Used    1.220000e+02\n",
      "Critical Value (5%)           -2.885538e+00\n",
      "Critical Value (1%)           -3.485122e+00\n",
      "Critical Value (10%)          -2.579569e+00\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "ts_log_decompose = residual\n",
    "ts_log_decompose.dropna(inplace=True)\n",
    "test_stationarity(ts_log_decompose)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Final Forecasting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from statsmodels.tsa.arima_model import ARIMA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ACF & PACF Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9LiRle+8Nw4fDzTfXLyapGTVNAsOdSCTVQ08JDLdSldqLPTAkVcvy5bBkCWyy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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f5d3910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ACF and PACF plots:\n",
    "from statsmodels.tsa.stattools import acf, pacf  \n",
    "\n",
    "lag_acf = acf(ts_log_diff, nlags=20)\n",
    "lag_pacf = pacf(ts_log_diff, nlags=20, method='ols')\n",
    "\n",
    "#Plot ACF:    \n",
    "plt.subplot(121)    \n",
    "plt.plot(lag_acf)\n",
    "plt.axhline(y=0,linestyle='--',color='gray')\n",
    "plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.title('Autocorrelation Function')\n",
    "\n",
    "#Plot PACF:\n",
    "plt.subplot(122)\n",
    "plt.plot(lag_pacf)\n",
    "plt.axhline(y=0,linestyle='--',color='gray')\n",
    "plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.title('Partial Autocorrelation Function')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### AR Model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1103cae50>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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wfn3cZxEsQYg3KYEbb6QJkVcSCePVF0WUN/HAQDrRiCII5y0M8XbmjHeh4JVE\ngjqPGTOAEyeifW8tuei8qVAbdt6CJ+iwSSvnLeqBMZGgftRP5sLOTmD+fGovXjPb5mLYpF/xpkKZ\n6+q8j3Nm30tJCbmd+/d7O64fghZvXpy33l4aJ7V7URVKvHkNdY2b7m5q72GFTQIk3vLNeQuyVMDO\nncCqVebPRy3evv3t3BCLJ0+ScNMX51ZwwhKXPPQQ1V7wS1dX7nRoQYi3l18Gfvtb4NAh78fIpbBJ\n/SQRcD+hiyps8t//Pfo6farznj073tDJXExYErR4KyTn7dQpSsvvlSCzTVo5b3GFTc6a5S8Er6OD\nzt1ruYxkktqa/p7SEledN8C7eOvpIZE1c2bwzhsQ37431fb9TP79uihWYl89nq+lW7q6gNpabws5\nQ0P29xJAxx/tztvKlebPR10u4OGHgTfeiO79zLAKmQQ4bNI19fXB1Bq77TbgG9/wf5wgSCToBvTT\nwX7vezTA+pnw5JJ40+93A3I32+ShQ9G7XyrmPRfEW6E5b4Vc5+3NN/2JtyCzTebinrcLL/QnAjo7\nqb14vQc6Oqjtma32AvHteQO8i7f2duq/q6vDEW9xZZxMJOhae538S5k57nrpa6zEmxD5HTrpR7yp\nhUWrewkY3WGTra303c6fb/43UZcL6O72l701KOzEW67NCwIRb0KIa4UQ+4QQB4QQXzF4fokQYrMQ\nok8I8UWnx5WSBtYgGtLp0yR4/DhVQdHTQ5Nwr87b7t20UvGhD/lz73JJvPX1GYs3NxO6s2ejcd4a\nGqIPm8wl5y0Xxdv48cE7b7ni1Puhp4fai9fPEvSeNzPxFteeNz/ibXiY2l55ufe+Ut9nGeGnmLMX\nggibVOKtqir4bJNAfElLEglgyRJavPMSJtvbS0khSkro96CdNyC/a711d9MEurPTfcZDuzIBinwM\nmwxKvO3cCZx3HiVuMSPqsMnu7two3zDqnDchRBGAHwN4F4BlAG4UQizV/dlZAJ8B8D03xz5xgiZW\nQThv7e0kdj7/ef/H8otf8fb97wOf/SyFpIQp3srLqQZNFIWu+/uzwybVSofTTjyqPW+HD1M4WpTk\nivNmlrAkzpj17m6asPgRb1rnrayMVm/7+oI5vzjp6aH712s/YZRt0suCSDJJg+Ps2cbPx1UqwI94\nUxlgi4u9hxrZTcQBf8WcvRCkeFPX1Uvq8VwNm5w8mc7LS3+jzRoIBO+8AfnvvFVW0nfkts072e8G\n5G/YZBA1qauxAAAgAElEQVTZJnfssN7vBkQr3pQTnQ/irRATllwE4KCUslFKOQjgtwDer/0DKWWL\nlPJ1AENuDvzmm3SjBdGQ2tuBdeuAgweBP/3J//H84Ee8HTtGewA/9SnqwMMMmxSCbuQgxLMdRmGT\nJSU0WVRhcXZEETbZ0UEd58mT0TozWufNaz0zvwwP0+fX7ymoqKBJflxip7sbWLSIBLWXa9LZmem8\nAYWz700JLa8rzWbOm9vv+dQpujeNarwB8YVNrlxJ342XtqtCHgHvCxj6DLlG5OOeN7XIU1JC95aX\nSY/Vd7Nwoffr5gc1ZnoNvdMmKwHCcd7yXbyVl3tzOezKBChqa6nt5FNkhXauVl7uPTLELlkJEO2e\nN1XmJxfE2/Hj1uJN9YlR9jn19ebPBSHeagBopwbHU4/5pr4euOqq4Jy3adNo/8fnPhfvqnoiQR2I\nF/F2773ArbfSwOgnJEWdh5V4A6JbhTFKWAK468SjSFjS0EBhM4D3+kdeUNcqTuetq4tW5FXIj0KI\neN23RIIG7XHjvN0P+rBJIPfi270StHgrLaWQG7flKpqazJOVANS2BwaiLYORSFD/smCBt8yFar8b\nUFhhk0HueQO8j1NW301pKWWyjDrjpFa8ebmntFkDAW+uaiGLNyVuvYg3p85beTn1afmU1EXbbsaM\n8R4ZYpesBIh2LO/upvlELog3O+dNiOhDJy+7zPy5nE5Y8uabwMUX04DuR2wlk9TplpcD73wnNd7v\nfz+483RLT4838dbeDvzHf6RDPydP9ifeenrsxVtUtd6MnDfAXThVFHXeDh+mwXHmzGhDJ3MhbNJo\nv5sizn1vasCfNct9KNPwcHYoE1B4zpuXNiNldrZJwNuiiNV+NyD6gXFggD5fWZn3/VPaRDccNpmJ\nVrx5TVpiV/8ujqQlfp03fV/jRZgXsnhTC2lenHin4g3Iv9BJ/UK7l/FpYAA4cABYvtz676IMm0wk\nSDD198e/WGon3oDoF3WtxtkS86cc0wxAu6Y6O/WYZ9atWwcAeOopYNGitZgyZS1aWsz3S9ihBlm1\nSfOHPwTWrAFuucV6NTgsvIZN3ncf8J73UMcDhB82CUTrvBmJN6eJDFThUq24CGPPW0NDuvDsyZPA\n4sXBHt+M7m667jNnUvKdoaFsByxscl28zZxJ18RucNKi3bekpZCct5ISby7B0BD1mfp2phZFzNqC\nEXbOG5CesE2b5v5c3aL6PiG8i7egwibtxJs2TEpbBzMMpMx0W+MSb8lkugyDGQsWAEePuj83P6gF\nz6lTvQkkfdikV+fNKltgTQ3dR07G9yCRkgSC0TjuFD9hky0tVAfVCco5tSpWnUuYiTezgtJG1NcD\n8+YZ1wfUEmXYpLofJk4k980upDMspKQcG3biLYoFxvXr12P9+vUYHraORAnCedsKYKEQYq4QogzA\nDQD+aPH3tsPPunXrsG7dOvT0rMNNN631PIAo2tvT4S0ANeDPfhb4x3/0fkw/eBFv/f1UX+xLX0o/\nVkhhk0YJSwDnN4uapAZVUNgM5bzNmBFtxkm1YltaShOq06eje2+FUbISRS6JNzfok5UoCsl5q6vz\nJt7MQpm9LIrYOW9AtPvetH2fH+dNGzbppf3buUtAOkwqqsRRJSXpxYwpU7y5Ztp6kF7GqfZ2msRb\nLVBNnx59PxjEnjf9JDxo562oiO61qEPR3ngDuOYaf8eIImwSyL9yAUE4b06SlQDpe95LkiG3qHnN\n/PnhtNf+fmDjRvu/a22lftZuPhzFou7atWuxbt06fOlL6zBx4jrTv/Mt3qSUSQD/AOBZAHsB/FZK\nWS+EuF0I8UkAEEJMF0IcA/AFAHcKIZqEEBPNj0qCYXCQJsl+Q/e0q4CKL30JeP114PnnvR/XKz09\nNNHs7qbVbSc8/DDdeCtWpB/zO9lJJGgV3YooxZuZ8+akEzfaHxFG2GRDA02Gow6b1A76NTXxhE7m\ni/PmBqNkJUBhOW9LlnhrL1bize2iiBPnLcpyAUGJtyicNyC60El9XT8lvNxO5Pw6b05EbT6KN6Ns\nk0HveQPiSYd/5gywb5+/Y2idNy9hk05KBQD5GTbpN9GNk2QlAIWST5wYTQi7GrvDEm8PPgh87GP2\nf+ckZBKINrS/p8faJQ1kz5uU8mkp5RIp5SIp5V2px34upfxF6v+npZS1UspKKWWVlHKOlNIyh2B9\nPQ2qQWQ8NBJv48YB99wDfOYzJBKjRN2ITjuo4WGqUfflL2c+XkjOm9+EJUYDWhhhk9o9b3E4b0B8\n+960q+l68lW8GSUrAQrLeVu8OFjnzcuiiFPnLaqBUdv3LV5M4Xf9/e6Ood/zFqZ4i6o9ave7AeT0\nT5zofiHDr3hzkoVzxox4xZvXhCVh73kD4hFv3d00T3OaHdqIri76frz0BW6dt3yp9ZZMUt+kvS+9\nOm92yUoUUYVOqkXpurrgxZuUtNWoqck+Z0auijcrcyVnE5bU1wPnnEP/DyJs0mjS+d73pguBR8Xg\nIImx0lLn4mvrVgofufrqzMfLy6lRehGfqr5Grog3v86bmXgLMmxycJBu8rlzow+b1DpvcYo3M+ct\nyjh5Paode3XejMImC8V56+0lceKlUHeQYZNu9rxFgbbvKyujUPqDB90do6MjHTZZVUX9lNNICoUT\nhwmIT7wB3sZfv9kmnWThnD49nnqbas9bIuH+PjAKmwzLeYvaWVKizc8+RFX0PsxSAUB+OW/KgdHu\nd3XbbqR07rwB0c37wgybfO01+o7q6ihiygqrGqRaopwX5K14e/NNct6AcMImAboZFiyIdgWmt5cu\niBDOB7Xjx2kCpt+srjK0eZnwqL0NdkkvoqrzZjZRdLoCZzSgBR022dREAqGsbPQ6b4UWNjkanLcp\nU2jC6PY+DipssqODVo/tEpzEJd4Ab6GTWuFfXEz9jxeHyWnYZBSTBqPsotXV3sSbut6FGDYpBPXD\nbucOZkW63Sys5Kp4U2OtH/HmN2FJITpvRovsbsen48fJMHCa4CSqcgFhhk3edx9w++20bcBuYY6d\ntwDROm9hhE0qou7ktBfEqXg7dco8i5LX0EmnmahywXlzMqGLwnlT+92AePe8xSXeRlPCkkJx3lR/\nowrTusFoIg+4XxRpbKR+1i5TYlx73gD/4g3w5j7nWtikfs8b4N95C0u8VVXR/Rt1bUDVbrzMHfRh\nk2PG0H3hNGS3v5/+6Uub6PFyv/tFOW9+JuHasEk3fcHgIL2/NjGdFbNmkfCPesuMF4IQb06TlSii\nmvepeY0Sb0EVTm9tBR5/HPi7vwMWLQpOvLHz5oAonDcgevGmTRLiVHidPm2+YjIaxJtT500/2Aft\nvKn9bgA7b3ryVbyZJSwpJOfNq3gzmsgD7sMmm5rs97sB0e95006AvYg3bakAwP1qdTJJbcxsbNIy\nGsMm7cRbUVH04dpBiDf9uOtmQtjWRt+n3UJIXGGT5eXenbdkktrfhAnuHQ61CFLkcEZbWkr364kT\n3s41SoIQb25CJoHo7ivVD5eX0zgVlJP+n/9JZbWmTg1WvEXpvKkoPTNyUrx1dlInpfZI+HXeOjrM\nB8ioY5+1hbGrq/07b15DjZyKt8mT6XqEvUJlm7Dke98jH9yEKBKWaJ23KVOoXUW16qt33pp9VVL0\nhlXCEtXZB7Vy5gYl3srL6f27upy/1ixsMowVtr17o/9+lHjzIviDCptUzpsdcYZNLlvmvuCztlQA\n4H6hq72dJmH6GoNGRBk26Ve8SZm5HzAs5w2IPmmJXrz5DZsE3E3EnTq16n6PIt27orub7iOv4k19\nt0VF7ifJbkImFVGGTj73HNUt9oLfNgO4S1YCRBs2qe6noJKWqEQln/oU/Z6v4i0vnbf6emDp0vQq\nSlgJS4D8CJsMw3nTikgrioq87eVwi63ztm0bsHu36eujCJvUOm9FRdTBRTFx0CeXqamhzibKgRmw\ndt7GjaPrF4dbpcSbEO7dN7OEJUE7HSdPAqtX0ybqKPHrvAURNunUeYszbHLxYlqccbNI5Tds0ulE\nHIjWedNfc7fjbyJBfUFpKf0eVrZJIPqkJUGHTQLuygU4bTPjxtFxo3Qlu7uplJHXCbgKmQTcL+S4\nKROgiHLu9+STwM03e5tHxeW8RZmwBAhu39v69dT3XH45/b54MYdNRoZ2vxsQTNikWSx0Poi3OPe8\nAdHcyLbOW0ODpd1klJ1s7Fg6blAiR+u8AdGFTvb30+q8mgyNHUuddxSJZLRYiTcgvtBJ7QDg9ppE\n5bz95CcUFrRtW3DHdEIY4s2to+3GeYujVABAn7O2Fjh0yPkx/IZNOnWXgPza86Z36CsqSBS6EcZO\nsk0C0Sct0bYbL1E7RmGTbsoFuBH8cWwJWb7cu/Omwi6BaJy3KKOuurtp/P7KV7y91o946+qi8NBF\ni5y/Z5SlAoIWbz/7GbluKrS4tpbah9lCfl8f3X9Tp9ofm503G7T73YB0xXevIUdWzltNDYkjtyme\nvaIXb05WYk6fji9sEohGvJk5byMTOhvxZjSoFRXRRCQI903KTOcNiK5cgFHYRBz73qwSlgDxiDdV\nA0eJDC/izcx5C0q89fYCv/gF8IUvxCfevGTGCyps0s2et7icN8D9vjejsMkwnbd8CZvUj7dC0LV1\ns8joVNjGKd68iCOjvjwM583r+fmhu5vec3DQW1vVLqRNnOiuDJKbMgGKKMMmEwngm9+k0MlNm9y/\n1o9427WLwlntMotriTphCRCMeDt1ikJUb745/VhxMR378GHj15w4QfMGJ/slo3beQi/SHTR6562s\njCYgXhWvlXiLeuOq9kZ04ppJSQ0yroQlQHTOm5F4q6gARGcHfUiX4g0ILnTy7FnqBLTiJaqMk0Yr\nb1GLNymt97wB8Yg3bepuwFvYpJnzFpTT8dBDwMUXAzfeGI94GzeOVh/dthezbJMZztuuXbYrX/mw\n5w3wJt78OG9uJuJBtkcrwhBvgPvQyVwUb8PDmUkE1D3lZlHZKGyyUJw35ZzNm+fNfdOGTaoySE7n\nfF73vEXpvM2aBdx9N7lCblxoM/HmtM24DZkEotvzFnTY5K9/DVx/ffaCrNW+N6chkwA7b7bonTfA\nX9ISK/EGRHsTuw2b7OwkUWOmwP2IN6uGoSUq581oolhUBCyfcATJxefQSZhMFM0GtaAyTupdNyC6\nsMlccN56eki8Gl0jRRziTT8ZCipscuJEOrbfkFspgXvuIddt+XJqR0Em0bF7bzUZV0lu3Hwes2yT\nGffURz4C/OUvpscYGKDbdtYs+/erqKDrkUw6P0evGC2IuElaMjycfV+67SedhgYC+ZVt0sihdztO\n5WLCErWYoVboJ0ygf26uuVm2yTCct6jLBWhrdnkRb9qwSSB88Rbl96P6iuuvp77w3nvdvdaP8+Y2\nWQmQvufD3levd97simlbkUxShMsdd2Q/F5R4Ky+n6xHFGJWX4u3EieyJsp+kJfks3qxcN6DwwyYB\n4NxxDeibu5gagYnVFbbzpt/vBkQXNmk04NfURCve7Pa7Abkj3ty46GYJS4qL6TtXtYu88swzFDnw\ntrdR+162jAbTKOjvp8iCkpL0Pkk318d2z5uUZKtZ2M/Hj9M1cRKyU1xMg2MUIsWv89bVRa/XZor0\nEjbpZs9bFOE6RtdcbVsA4GjW4td5U+FydrXMgGgTlhi1GbdzB7PMgYXivE2cSM6bFwdFv5BWaM6b\nihD5yU+Au+5y/t5+s016cd7Kyuh8w3aZtOP33Lk0dnvdwvTUUzQnW706+7lFi4ADB4xf50a8FRVF\nN0blpXhbsCB7sPeatGR42HxfiyKXxZvVfjenxzDCrXgLOzmG2UQRAJaUNCAxrS6dZlFHby/NI4Oo\nSWXGaHfe8km8BeG8AcFMmH/4Q3LdVFjnmjXA66/7O6ZT9J2/29BJ2z1vZ87QzWcxe3a6300RVeik\nUf+3ZAmtzjqZPBiJ/kINm5w8me6DZBLARRfRvgYL/Io3JWrtapkB0YZNGrUZt0kvoso2CcSTsGTC\nBO9hk/rvJmzxVl1NfZzfBTonaD/bwoXAZz8LfO5zzl5r1O6ctpmhIWDPHuC889ydLxDNor12blNW\nRvezVzf0vvuMXTcgOOcNiC50Mi/Fm3a/m8KrgFBx1Fa1dOISb5WVdANaLWbaOW9RiDe/2T6dYOW8\nzRdH0F5lLt6sBvugwiaNnLeo9rwZXSuv4u3554HrrnP/OrtkJUD+ijezhR2/E+Y9e6i6xQ03pB9b\nsya6fW9G4s3NwGhbKqCxkR6wmD073e+miKpcgNE9NX48hTQ5Cd0xEm9VVfS405XjfAmbLC6me6Gt\nJUmN2oN4czNOufle4hZvbuYO+pIvirCctzjDJoNw3tws5HgRb0JE9x3pr/tXvkIu/xNP2L/WKPJm\n7Nh0si4rDh6kMdFsgdKKKPa96T+b17bT3EzR+x/+sPHzduJt9mzn7xVlzc28E2/6/W6AdwFhFzIJ\nRCvetDdxcbF9x21VJgAonLBJK+dt7lADWsrnW4o3swEtqLDJOJ23oBKWJJPAP/4j8MYb7s8hV503\nfTsOKmEJ4N95u+ce4NOfzlyUiFO8uc04aRs2qcRbwM5bFKuaZv2f09BJfZkAIF0T0+kiYy6GTRqJ\nN4DG347dTbSJ0cZW8eu8uSmhUF1N97CbBBBeMRNvTu+p3l7qC/QLyWEU6QZo3tDWRvdxFGjDJr0m\nLPETNum2zhsQ3dxPv8g4Zgzw058Cn/mM/eKyUbsTIr1H2IqdO93vd1NEUS5AH1XkVbwdPEh7ys3E\nTk0N9Z9G3xc7bwESpPNmVeNNEZfzBtivSFoV6AbS4s1tGYVcE29WztvMvgacHGfuvFmt1AbpvOnF\nm1r1DXtTr1HYpNrz5ua6P/wwhSN7uZZ2mSaB3HDeqqvpHuvttX+tlMZhTAo/zttbbwGPPkqZxbSc\ney5pHrtBNwj8hk1aZZvs6QF9kLq6QJ23OMMmAbo+TpKW6MsEKNz0lV6KdHstl+MUM8E+ZQrQuyu1\ndG0zMzfqK8ISb0VF0dWk8uu8mfU1blby3bSZoqLo9kYPDNDi4Jgx6Qm427bqJ2zSS6kAIFrnTX/t\n3/52ikL+1a/sX2vUVzkR/Tt2uN/vpgh73mfkRHsVb3bXv6iI5m9GdTy9iLcoFtLyUryZOW9exVsu\nOW9G4s1qULNz3srKaLB1Oxm0FW8dHSMpkWIVb8PDmJJoRHPpPM/Om1/x1tdHn19vrY8dSx2yl7BV\nNxg5b+XldO2dTnR7e4FvfAP40Y/SnaYbctV50w/4QjhPYpBI0DU0S6bhx+247z7KLKYv/FlaSvsP\ntm/3dlw3BBE2aZltsrGRZh8FsucNoIQyTpw3s0Q3boSEm/DA0lLqH4OIIrDCynlL7jtIg5HN7CqI\nsEk3LkpUSUuCEG9eJ+EKN+LN7fn5QYkTleK/qMj9few1bHJggNqtVV4DM6L4fpJJOkejRZHLLjOv\nP6bwI968JCtRhB022dtLcxitE+0146QT59UodFJKitRxkg1ZMWkSO2+mLF6c/ViYYZOTJ9M+hTjU\ndMag1twMfO97GX9v57wB3iY8PT024m3LFuCrXwWGhjBlCp1jmA6TadjkiRPoG1eFlsS42MImjx6l\nTt5o32QUoZNGq3ZAOv27E/7934ELL6TBwouL7US8VVfT/RZFGl2F0Wq202tilawE8O689fUBP/sZ\n8PnPGz8fVeikpXjbuxe46SbL1zsKm7z4YsuZcz7teQOch02aiTc3Ex43YZNANKGTZuKtuhoobjgI\nXHNN6GGTbr+XqPa9+U1YYtaPO3Xehoaov7OLJNKfXxzOkpdyAV7DJpXYd5LgRk8U4k1fi1SLk1IX\nZu3GqfOWq2GTRp+rrs678+ZFvLW00LWxKoath8MmLTCaMPgJm7QTb0K4i133g76+WoZ4e+klCoTW\nYOe8ZR3DxXlYirf6ehrJ9+1DaSndZGFOqkydt4YGdE2to5vFg3gLImzy8OHsZCWKKMoFmK3YOt33\ndvYs8P3vA//6r/S7l4UQJwlLVBFzN8V4/eJXvFmt1nqdLP/mNzRgGkUQAPGJt4z2snUr8PTTlrFN\nVglLenoAqZy3t94yPI6UNDFyGzYZ5563pUuB/fvtFyA6OvyFTSaT1P7cTMSjyDhp5byNPX4QeMc7\naFZu0W6M+oqwwiaBaMWbfjI1cyadr13iCMA8bNKp86a2gBS5mLVFuadLez95KRfgNWzSS7ISRRTi\n1mz8Bpy5xl6dt9OnqV3W1jo/Vy1hR1wZfS9+wia9iDe3IZNAdAlLenqsRWVOijcjwnTegOg6Ob3j\nlSG8du+mk9DsvnbivIUm3oqLR/Kah30jmzpvDQ3onakRbwZFvMIOmzTa76aI23lzIt7+5V8ohE85\n2mE5b0D0oZN+xJtVshLA+2T5f/4H+PjHzZ+PUrxpO/+aGvpekkmQQmlrs2wIZvdkaWlqAnn0KDWq\nceMMV3bOnKHJrpN6XYoowiaHhuif0WebOBG4tmIzTj5hfYGsnDcn7b+tjV5vlQVZTxQZJ632vE16\n6yA13tJSSyUWZbZJILpC3UZjZnExhVw1NwO49VbLwcZsEu+0n3EbMgnEl5DDS9ISo7DJsMVbFN+P\n1b5qJ23XNtx2YIBWZ3Xs3k0h+l4cSSAa8WY0dnd0uI+WcrLnMSjxxs6bS8Lc8wZEK95Mnbc9eyg2\nMXUiUtJEIIywSUfi7Z3vjEy8WTlvQ3Pq6PNVVNCXohvpwg6btHLeoigXYOu8XXopsG+f4WuPHAEe\nfBD41rfSj3lZCHGSsASIXrwZteOgwia9Om9HjpCDY8bSpXR+YQ8A+r5mzBjqK06fBok3wLTdANYZ\nYGeO76BFpupq0xmI2/1uQDTizSqMCQA+U/QTDN1nnUXAas+bk3vLbWggEG/Y5NTJQ6jsaKKO0GZm\nHmW2SSDesEmA5g6n3jgBPPAAzZgtXm80iS8vp75ISgCvvUZbFgzwIt6iCpvUT8S9OChGYZNO+oIg\nnLcwEwFZzbUCcd7q64H/+3+zapQ0NFBNOa+EvefN6H4oKqL76ehRuBognex5W7w4OPHGCUtcUFlJ\nH2ZgwN3rcl28VVfrnLe5c0d2bLa10d+aZWFUeHXerBoG9u0DPvaxDPEWZqFuU/F25Agwfz7dx0IY\nhk5aTYSchk1ahUkZlQlQRBE2aeW8nT3cToO9iZVz551UDFS7ADBqnLfhYZpFmHxYswm4wovzJiUN\nPPPmmf9NcTFtIvdSssENRnViRsoF7N8PrF7tWbwtHtOIodnzLDPEuN3vBkSz581u4erc/u0oe3OH\n5TGswiadtH8vE/E4wyZrk0fROmYGNQiLmLjhYeP7SrVDJwtp+ZSwBKA23rcx1f9apCo1c2BKSuhr\nTSRAqQcffNDw9XnrvCWTjpScn7BJL2UCgHRkQNQOk2JyUQeKe7osyznYircDB+g71kUlNTa6XzzT\nEvaeN7NF6RHhf/HFFN7vACd9xowZ1L9phdfx497CJtl5c4EQdHHcTjo7OnJbvI0Ir/Z2+s/b3z4i\n3pzsd8s4hgssJzBnz5JK/qu/onRFyWTohbqtwiaLF9elbxYT8ebHedu4kZJ5mBXXNSrQrYgibNLK\neZu4z3zS8PrrwPr1wBe/mPm4V+fNiXg791yqJXfrrTQHiSMkZeSaNDTQDMJkNdyx87Ztm+NB5K23\n6FrZhQpecEH4oZNGnX9tLXC8MUnfzXvfaynezEoFAMCCkkb0z0jNDEycNy+Thyj2vFn2fT09qO46\ngqqTeyxXdPwmLPEyEY8ibNJMvM1KHERj6SL6xSIbRXc3tTmjDK5Ox6l8c95qa4HSndvoAtmIN7N2\nN9LX7N1r+t36EW9hl5iwrNf19NPAX/+17TH8JCzx6rwB4c/9zBZfAUB865v41zHrLNuvI/EGpOtu\nprBbRLRDRbuF1XbMvpe6OuDE7rP0uRyucDppA0KQE6l133I5bDIvi3Sb4cUxcOO8xZqwZO9eylO9\ncOGIeHOy3w0IIWyyvp5iuyoraSa8b1+oYZNKNBmmbG9owLhzrcWb3zpvR45Q6vYHHsh+bniYno8z\nbNKsk6upAWY0vUYnt2dP1vNf+QqFS+pf6+VaOklYAlA5guefJzH85z/TFpkFC2gPmG5sCQRL8aY6\nfpP0gXYJS0acjrvvBu6/39H5OB0wo9j3ZibeOncdJZVx/vm2zpvZhul5ohG9U1PKzMT6cJusBIg2\nbNKQ3bvRXXsOWstmpidFBvgNm3QrUIBowibNFtGq2w7iIFLizSJs0iq82mnoZD5lmwSojU8+vBX4\nyEcsxZvVJH7SJKCzQ1I/buJSeRX8xcXh31NGCUtG8tr85S/Uz9gU3zQrFTAiHn71K8MG5CdsEgh/\n7mcl2rFjB64cXm/aflWZAaN+OEO8lZRk3ZN+xduYMTR+hCVUzBzJ+fOB4ddSg+POnY6O5dR91e97\ny9WEJYODNPcsLTX/m7wSb16z5DnJ6BV7wpLdu6lEfF1d/M5bfX26UvoFFwCvvx6qeDN13Xp6gPZ2\nlC+e6ct5sxNvZ88Cl19OQqe7O/O5U6doQDEbdON23ha2vUY2l27S8MorNAe47bbs14UZNimGkzhn\nqcSnPw38/vc0qfrDH+jnb3/r7j2dYCnetm8nkWIyobJLWDIyWd640XHxmVwXb7NnA0NvHgCWLKEF\nGo9hk3NkIxJTgnfeYg+b3L4dyRWrsad0FeXZNsFvwpJ8C5usOH0Qewc04s1EYFgtltrVNAVoou72\nu4kzYQkAzKmVqD21Dfi7vzNcRFNYhc9VVAC9h5pp009jo2FdHi9tBohmYVr/2crLqR21tIDC+qW0\nrMFhVLB57FhyS0ZCCu+8E9i8Oeu1fsWbm3IPXjAV7VICO3eiru9NtBw2VgOqDzfan5sh3i67LHDn\nDQh3G4RV2OTEfVtpBXjXLtvjJJP0PTgxaRYtylyTy1XnTbluVslm8k68heW8qUSGYdeoMi3SvWcP\nsPJITAYAACAASURBVGJFhnhz6ry5FW/JJCl7s4lZlnjbti1U8Wa63+3oUWDuXJRPKkJvb8qhCyFs\n8uxZys2ydi3wgx9kPme13w2Id89b5SSJNUOvouuvbySVqVGe3/42jXVGKzduF0H6+6m9WO6RVHzi\nE1TkLIUQtCZx8cXhTDyNJkTTpqXqEr7+BnDDDZbOm122yQlnm6i92VVSTZHaomnL4sXUl4VZVsHM\neSs7sp/EW10dfTaTDRdW4m12shEdleE4b+3t8SUQwPbtGHvJKrzWv8qykrrZnrfJk6ldDXb2Al//\nuunr8y1sckwjibfBQViGTVo59Bn7u03o7KQ2V1bm/Jyrq+l6aJI0h4JZu1lQ2oQBWUKJozo7TWd2\nVg7MpEmA3L2HxtvyckM16ke8xRG+Pm8ecORQkkLO3/UuSxelp4fmAProm5GJ8unTpCIOHcp6bRDO\nW5jfj+l1P3YMGDcODdMvRdHmje5eC514UyU8UvT30/fipvi0EWHO+8zmNfPnA7OatwJ///ck3mwK\nDCu330nm3iCctygSltjtdwPyTLyFEja5bh3Q3o4xY2gQCDMETqWo1g5MGc6bTrw5dd7chhqp0E1T\nVb9vX+TOm1mmSdTVQQjNJlGdeOvro0HbrINzEjapQpj+5V+omLVWjFntdwPovFTx1LAw68BF83GU\nFidxvKyOJuP19QCADRtIRNx8s/Hx3N5HynWzTTl85gzw8MPApk1ZT1VU0KQ2aIy+m5ISoLpKQr6x\nnZLuWDhvdnXezjm7kSYex46Zb4rU4HS1s6iIohZT+YBCwUy8lZ9MibfSUhopDSZEgLV4mzHQiLaK\n4J23sjL657e8hxV24m385avx+vBqDG1z77wVFVGf3rF+O3UoJh2D43T4Uo4o2bDFm5Tm4k0cOogz\nlYtorJo717TWm9V4OxI2OTxs6mR7CSctKqLJe9iJkkz3vJ3eim1yDSQEbfo16W+swiYrKoCSfXto\npcvE2XQs3oaHqZh6yomJU7y1bt5Hq2lvf7uleDNbSBuZ2ygHJgTxFnZGTlPHdedOYOVKnFhwFSp2\nvGL4Wqu+qqICdMMkkxTKoXHempooysJNKRIjwpz3WTlvS7u2Qr7zXTTBstlv4SZhjVa89fbSGOm2\n7ai5aJgLjAUn3ryGTZqKt+5u4DvfAR5/HED4nZyRBT55MtDeJiFV2GRVFXW+bW04dSoc581RmQAl\n3s4/H9i5E1OrkqE6b2bJSpRyGlmB04m3tjb6/GbCIiNscnjYMOxC7bGYN48We775zfRzds6bEOHv\nezMd9F97DQcqL8bxZkH7JVMhO1auG+D+PnK63w0PPECFZQwci7AmnmbfzcopzbRgt2YNiS6DD+wk\nYcnqxEaaeEyf7miEdxOqEnbopFnY5PT2/emifxahk1bibVpvI1ommDtviQR1r1Onuj/vsPe9mfZ/\nQ0PA3r0Qq1bibO0qYMd20xHaSvhPmwb0b0ndAyaur+N9XT/8IfBP/wQg/D1vQ0PUn2XtPR4YAI4f\nR8/0+bToU15ODctALTkKm3zhBVoQMcCVePvOd4D/+i8A0ex7M2s3E97chjeKL6TxadkyU/FmFzY5\nriG1793E2XQs+DdupO/4hRcARFMuwKgfnj8fkH/ZAlxyCbBypWUInNl3MzLu79qVnW0ihSvxtncv\ncMstGQ9FkbDEsL/ZtQs47zx0rLoaMw++7O61oDZTeeYg9eW6fah+M00qwiwXYHbNJ/c0owwDtDh4\n3nm2+97c9Bla8dbcTM6k2zp4ZWU0t7LZwukLuwLdQJ6JN7eOwfCweXgLgPTM6bHHAEQj3oxcggXj\nT0IWl9AIJMSI+3b6dDh73ozOI+PJU6fSM9DKSmDGDMzq3Bd92KQmBs1MvNmtRmaETb7yCoUX6CZk\n2kHxa1+jPVpq64Kd8waEHzppGjrx2ms4UXsR1XpbvhzYuxcbN5Lg1I1PGVRV0X3hwEgC4HC/2/Aw\n8POf02Tz6NGsWNXy8ujCJgHg0rHb0TbvfLqfTFbD7RKWjB8PXJrcgKFLryQF7yB00mnYJEDiLWrn\nraYGmNe/H0MLltADJuJNhVYbhq/19mLCQBvOls2k3w2cNxUyWeRhhAl735vp/bRvH31B5eUYO38m\nksMiK/02QN9NT4/5RHzqVNB+udJS0z1Qjl2U3/+eEjX09IS+583MdcORI8Ds2Zg0tSw9/poIDDvn\nrbUVFBpw+LBhPLvjidjQEPCjHwG/+Q2AeMUbtm3D8RlrSCAtX256ze3CJiuOpZw3kyJpjtvMQw/R\nff0yCYKonDf9Z5s3DyjfmxJvahJushhitpCWId7+5m9MnTfHgv+LX6Tv5/jxkYeiCJu0ct7kxZdg\nRsseQ5feTrxNbTtA4k1tbEyFGAax3w0It1yA2cKreH0b9k28EA1HBIn+AMXb1KnUf5896y1kUhF2\nuYBR77xZpS0GQBtpb74ZeOklIJGIzHnTc8mE3ehfuDz9QEq8hRk2aSre9u+nFS7tl7ZmDaqPvo4z\nZ8Kxiq3KBGQ5bzNmUCNIKQ+7FeyMsMlHHqGLoFsB0N78lZXkWn35y/S7nfMGhJu0ZGiIOhtDcfvq\nq+hcehFp2ZTzZue6ARRKUVnpXPA7Em8vvEA98ZVX0sRBN4EJw3mT0nxCtFq+gebpq+mXZcsMHRC7\nhCWivQ3zcBQd81c5Em/Dw+4KU8fhvJX2daEKbThVWksPmIg35YYbrko2NaG9vBaJ3tTwoXa1a/Ym\neNnvpgi7XIBp/7djB9W+A1A7R+BMzWrDpCVdXdTUzYTp1KnA2P07gPe8x3Qi78hFeestujZr1gCP\nPRZ62KSpeDt4EFi0KHPPuUnGSUdhkxs20AMG7c6xI/nCCzQh2LABGBiIJGmJ4aLn8DCwbRvaF66h\nuYOF82aZbbJ8GFWn6mmhyU/YZF8f8OijFP//CoXixRU2OX8+UHM8Jd6mT6eVII1o0mIVNtneDtpW\n8t730oxbU+y3rY3GM7vSLACoZMHRo8AHPwg888zIwzNnUrt2W0PYKabXPeW8TZ0zDgcmrDaMCrIL\ntZ3ZnRJv48eTokhFQAQp3qIOm8TWrWiedSHdAuedZ5u0xE2pCCHS7psf8RZ20pKCFG9unDfbGm+v\nvgq8+93ARRcBzzwTm3hbVboHnXNXpB/QOG9OwibLy6nPdtr5OM40qbjgApTtfh2lpeHsWzJ13ozE\nW0kJNYRUJ2U3CRpx3pJJGtSmTMmKodav3NxxB+0Bfv55Z85bmGGT6lplTaKTSeD11yEvuHDEeevf\nvhcHD1q7bgo3nbJV+u8Rfv5z4Pbb6URXZSd7CGPiOTBAE2gjd2hRYjsOlZ9Pv5hMqOzCJrFpE3aO\nvRgdPaUZe1HNOH2aPqejxC4gPdjZGd7KpmHoxYEDOD5uEY41p7p+E/FmFTKJxkZ0Tp6bXhQpK6MP\nrlkN8BO2E1vY5PbtI+JtzhzgyCTjpCV2eyVnTBlCxfE3gRtvtHTebEXKM89QyO7ttwP33x962KRr\n8WYgMOzCJjvODKQTWBgsqDheRf/v/wY+9SmaiW3ZEkmhbsN2c/gwMGkSJi2aZiverMIma5NHkRhb\nRRNwE1fTUZt54gna6nDNNfSGTU2hZ1MEjD9b3ZROTEscoQk4YOmiWIZNtgxRH7V6NcV9a74bJVJs\nQ9+Ghij8+LvfJRH41FMjTxUX0xiuy4MWGIYipaeHOsmlSzF9OrCp+OoRp1SLnfM2p/cA3QMAdbip\nuU0+iDdTYbp1K7qWpsSbA+fNbZH2IMRb2OUCCk68uQ2btNzvJiU5b5dcAlx3HfDYY6F3cmYXZFly\nN1pmZoo3ebgBZ87QorYdQrib8OhrzWWgTVaiSCUt8ZLt0wmGE0UpM2LQMj6fJnTSbjVy3DialAy/\nspFcuyuuyBoY9ROGsjLgrruAu+5oxEfa7sPMmdbnH2bYpOnqVH09MHMmpi6pIvE2dy6Gz7bh219o\nd5Spzc29ZOu8nThBK+Ef/Sj9vjrbsQhDvFlOhs68gV3FKeft3HNNnTerSTg2bsTuiivovB04b25C\nJgG6b1O3VigYFvncvx9nqpakF8CXLCG3XWep24m37uq5mVFvutmzX+ctbvFWWwvsKTEuF9DZaV1+\nZin2oX3ibBpb/IRNPvkk8Fd/Bbz//cDOnajqPBqq82Z6zY3Em4nAsKvzNuXYdorsuPRSQ5HjyJHs\n7QX++Efgwx+mMPjnn48vbHLbNmDNmvTCb00NfZEGnatV2GRtxx4cm5SKvjEIm1RbQGwX0R56iKKJ\nhACuugrYsAE1NXRrOg2T94JhwpIzW7EDqyFLUmEgFi6KVdhk8eEDJNomTKC2owmddNzn3n8/Ldy+\n7320cPDCCxnpScMsp2AoUvbuHUkaNWMG8EyfsXizajMTJgB1yQNILkjtX543L3DxFnmpACmBbdsg\nLkqJt0WLaH5hkRHOcsFnYCArgVo+OG92BbqBPBNvXhItmA6yx45RQ5kzB/jAB4A//xlzZg2GvnHV\n6IIs7NuNE1WZYZOD+xswaZJ1+BseeGBExLgVb7YFurWkkpZMnxJO0hJD5+3MGZpJpGbXkydT/3vn\nncCRwRps+0MzduygvspqsC8qosMkf/sIcP31GR2ceu+BgezO9YMfBNbKl3BX8p8geqxT34UZNmmV\nrAQXXYTZsykSZfOWIuwvPhc3rTKvpaPFzb1km7Dk/vtpIqWUUETOm+nA1tKCsf0d2J1IWaZenbcN\nG7B/2pW0wuZAvHkZMMMMnTRcLDpwAF01S9ITlcpKamC6ZWc78dY7VeO8AVn73vw4b2EPjIb9n5Qk\n1FatAkDDwpZ+47DJjg5r0b+4ZwcaK1eRAkwksupBDA1R27OsP5pMAs8+S5EhY8YAN92E6iceyK2w\nSZfOW3U1sPDkBlpAM7knHTlvf/oT1YCaMYMcpueeC128GdUhA0Au4po16YVfIUw/m1UI3MzWvTg6\nfhn9MmcOdeqaukUdHfRa0y0gAHXoL79Me8MAEm8vv4yyMlqsC3tftv6zjd2xBTvHXpxe07FwUazC\nJic07Eq7d4sWuRdvXV1UxPUHP6DrM2MGvejVV0f+JMyFe8NxKrXfDaC+ZGPyUsjt27OyYFjN1YqE\nxCIcRNcMjfOWWlAJKmFJ2GGTWfdDQwMwfjymr5xB3UtJCS2+7t5tehzLsMlnn6UaUJrXexJvx49n\nqNiwywUUnPOmBg+n+64snTfluglBV3DRIixoWh95whIkk5jdVY8jquMGKETr8GHr/W5SUhjAzTcD\nw8Oukpa4DpusrASmT8eqcfujE2+6eMXPfx745CdpQtk4WIOtjzfjllsotH/hQuvjl49PoujxR0m8\naTo4IL0Crg+7EAL4+NsOY/xwgjKYWBBm2KSpQHn11Qzx9u1vA+MuWIbSA8YhO3oCc96SSeCXv6TQ\nLsXKleQ4aCYfYYg308nQ9u3oWbIaJ06lureZM0mh6xqvZcKS3l5gxw4cr7k47bw1NFh2Pnkh3vbv\nR3LBksxVZoPQSTvx1j9DJ94MnDdXkwdNW4nFeWtspA+cilOvrQW2nF1En0k3Sts5trVnd6B+7Op0\nkUOd+6YWFS3TeL/6Kp2Eml3ceivG/u4BdHcO25U98oydeKuutnferBZ6qqqAFR0baV+syT5UR+Lt\nv/8buOkm+v/llwN79qBmQnuo4k2FaGctpm7bBlx4YaZzYyLerCIFqk/twf7S1ALu2LE02XGRmAsA\nJbd5z3vSKujqqyPb92bYF2/ZgmM1l6SbicewycnHNOJN57w56nP/7d/Iob3ggvRj116bEToZ5vdj\n+Nl2pT+TEED5zInoX7yC5qUaLOdqJ06gu6gCnUh1RqmF6YEB0hleXSUtkYdNbqXi3HV1mrUhm0yl\nlmGTmzfT2P2pT43syV682IN4+8xnaNEp1clwwhKXjB1Lk3ynk0BL8fbqq1Q5WHHddZj04mPo6Qmv\nZpfhBTl8GIkJ03G6R7PsNHcuSt5qxqypFlVHT56ku35wEPjBD4IRb0ND5C4sWZL93AUX4Hz5eig3\nsuFEUSfeamqAW28FvvENYO1Ha3DH+5qxaxdN8u64w/r4VxVvQrJqWjqlrsZ5s5oszEgcphCLhx+2\nPH5sztvFF2PKFGqv+/YBC95vnulMjxvnzVK8Pf00TXjPPz/9WEUFrW5q0jpPmECTQ80c3Temk6FU\n+NvINVGr4ZrJopQ2ztvWrcCyZRhTPZHm7pMn0+zNoqq227BJIB7xVrpssa146+21Fm9DNbqwSQPn\nzXHY5He/SzmbU+0lCvGW1W40IZMA6abG48WQy5dnTRzswianntiBHSAHz0i8OQ6ZfPe707+vXg0x\neTKuHfNSaDXwDMVbX99I9uEM523uXJrt6pSk5Z63yRIXDmyEvOxymoQ3N2dlnLTd19XWBrz4Im11\nAKiRXnYZ6prWhyreDMfMZJLazQUXZE7+LcSbabbJ43uxF5oFXJ2z6ajNqJBJxYoVdO1On46kllnG\nZ0ttS+k455L0x1i6lDoGgyyjVmGTM07rxJtmXLHtc48dA372M6q5qOXd76axK0XkYZMa5w2gIbR1\neXbopKV4O3AATWMXp+fDqYXpY8eoO7V0aR2ixFsYieoM74eUeFPTtOFh2JYLsFzw2bwZuPtuOtCv\nfw0g7bwdP+5QvA0MUJ9z7bX0r72dE5Z4wc2+K0fOm+K66yD+8Djm1g6HdhMbXpA9e9BasyJTeJWV\noadiBs6tsDiRXbvo5n/oIeB738Mqud1/2OSRI6REjJZfL7gA5/Zsi9Z5M+uVdeUC7PjA4CNoe8f1\n9IvOebO88Q8fJndz82bLwO+RPW8HDthmRnKL6Wbn/fuBlSshBG0H+NrXgJKV5pvl9QSWsOS++zJd\nN4UudLKoiAawIBPemIq3N97AuMvPx+nTmrmlbt9bby+topsOcBs3AldckekY2oROenHe5s5Nz4+D\nJqu/kRI4cAAVFy7JTPpm4ryZ1plpbIScY+68DQ7S/TB7ts0JSkmW8f33A5/7HO3vOnMm9FIBhv2f\nTryNH0+Tyd6lq7NCgC3DJqVExaHt2NJnLt4c7etS+9203HYbbsP9oYVOmi6izZkDlJRkjr3jx9OX\noGu4VmNu2ZH96Bbl6KyYTTfewoVZ7c7WeXv0UXJRtOr5He/A1J3PhV5rM6vN7NtH7X7yZNTUUJsf\nGoKheBsetijRMzSEcU37sWtQE/GiczZtxduBA/T373hH+rHiYnILNmyIPh3+kSPAmDGoOHd2+mOU\nltLCsEkIu5nzVttm7rzZirc776TV3drazMcvuYT68lSjiTRsUsoM5w2gOUTjPGPxZppJ88ABnJio\nEW8pxRPUfjeA5mXjx4cjVAzH75R4GzeOFvFOnICt82baZwwO0sropZdSQrU77wTeegtVVdT9HD9O\nIteWTZuo3d57L0UNvPe9qB7Xw2GTbnET7mU6kAwM0F6GNWvSjy1ZAlRW4p2Vr4V2Exvuedu9G4n5\ny7Ncs9bKOiwpschup27+efOAu+/GZ7Z8FJ2nsle0zM7DNAmGPmRSsWYN5rdG6LwdOWKe5tGNeBse\nxju7H8VbV2nEm0PnDYcO0Xf83vcCv/ud6VtMmwa0tUoM33obWYMBYuoSLFs28qU9+SQVF7eqMaTH\nzSKIqfPW1EQd2w03ZD8XQdISK+et7KLVmDhRY5TpJlROkpXgyiszs0r5FW8vvgi9baLEd9ATz+Fh\nAwHW3AxMnIhZ50zKXKBassR52OTQEHDyJETtbNM9b4cO0WTIMIOsQkpacfif/6EJy9e+Rvsm3/c+\nVI/vjX7Pm6ZMgKK2FnhrVnbSEsu2c/w4xJhS1LelYt5NnDdLgXLyJDWmSy/NfPymm3DNwJ/RdSyc\nL8fQeUuFTAIGfYZB6KTlgumGDXhj/BWm9yTgQLxpQyYV11yDcRufQ0dHRg6KQDFNVnLhhQAoydW0\naUjX3NyzJ8OuUE62YajsoUMYnlGD092aN9AlLbEVbw8/TNlN9atRV10FvPJKqOLNsGRLanE8q4mY\nhE52dxs7b1OK2zBhsC3dsc6fTx9kcBBS2vS5r78OPPcc8JWvZD9XWkqZXJ99FkC4hcyzxvBjx6gx\naLLRTZ8O1FdfQeKlvz/jtVbO25lJizKdt8ZGHD0ircehgQEa3/bsoYHH5qYJK3Qy63vRONmAphqJ\nSnRjEi9uWqR91y5qL5WVdIy//VtajAd1adXVNmOU4qmnyKkVArjnHmD+fHzkkQ+h62xItSVQoOJt\nyhTgbHMf8NnPAg8+aPm3pgPJrl00EdP3Ftddh3f3PRZaJ2d4QXbvxuDSFVni7dS4OtTBgXgDgI9+\nFGdqVmHNI192dB6W4k2frERx/vmYfmonWk4HGPeWwsmetwzciLdNm9BZNgVnp6RCQSdPptEmNTs0\nnUi1t1MnN3Uq8LGPWYZOFhcD11W8gOFjzcD69YHOIAydt1TIpGLx4tSYbZHpTI+bDtl0H8uvfkUZ\nJo0aUwRJSwzFW1cXzaCWLs0MZ9U5b5Yhk8kkua2XX555zhblApJJGpNN93k1NVHIxdVXZxV+DiME\no6+P7qmMWmT79wNLlmDmTLr2I83UzZ635mZg+nSMryzLDptMKVCrNSAAdP994QuUCv+ll9L1UP75\nn4G6Olzyo4+iozX4fkbhxHkDyHA6OsmleNuxA2LVKnR1pb5fg4m87UT86afJQdFPxKur8VrlO1H2\nv7+1/HxecS3edLXehofpnjT9bjZuxJvVV6bHOoN9b5auZHMzXQu9I3neeRDt7VhZ2Rjq/hyzTJMK\nFY6F6dPpemuiNaxCJrF3L+SyZZkr+brv1rLNSEnj08c+lv3c1eTmhOks9fWRFsrYD5gSb1l5bUzE\nm1l/PPXUbuwvXZHuyMaMoeigpiacOUPt1bQf/9KXyNk3+wNN6GSYCSiyrr3OdQOoyRzrqKC++LXX\nzF+r5cABtE7ROG/l5cDYsThT32It3v74Rwo7/vCH6XqoGnELFlC/c+ed9Dep/jwM8WaYAKi+nsaR\n1GRjRFBXpUpoGOyxldLi3ti8OXMB7FvfooXCF1/EokUu9rtpQ9iLioBf/xrFY0vx0WduCXYfiAbD\nMj868k68LR1zBBd98XK6CP/1X5Z/ayretmzJ3O+muO46XNT8GJoaQwjwhUnYxJ49KFqZLd4aS+ow\nq89GvGlipjfe9FMs2vcENTQbPDlvlZUYmDwdY47utz2+WzyHTToJxH7kEWyedX16oilERuik6WRB\nVecWglboGhszYu0zkBJfHViHpk/8M4V1aLJY+cXQeUslK8lCCBIpDkInfScsGRwk8WYUMgmQeNux\nI+MahSHeDLN4LV8OlJRkijfdKr9lspI9e2gQmTbNsfN28iS1I9N9Yj/5CfDpT1Ma00suyRAEYezx\nMtvvhiVLUFJCi74j382cOTQCamJaTcXb0aPA3LmYMAHZYZMp581SvA0P0/fwl7+kCy0rhADuvx9j\n+9rw8X3/5O4DuyCr/2tpoc+u629qa4G9RStI2GqKaHZ0WOx527ED4vzV6eQeU6eSLaMR7LZhk0Yh\nkylemHMbqv9wv/UH9IideCsvp756xBjQzcw7O62Ll2PjRhytMXfeBgfp2ph+t7/7HU069Q2zqAi4\n5hr89djnQ9v3ZpppMuW8ARrxZpBx0jL8bc8elKxcnrkn2I3ztmkTfSfafceK888HGhowf1JrtHu6\nzJw3k3IBpmGTTbuwE5lCR4VOWoZMnjpFCzK33WZ+4tdeS85bMpndnwVEMkn3S8Z9pdvvBmgCF1JO\nqcLOeeucsThzTJ07F731R62TRW3dSmHqb75Jb9rfTxfp6acpM1xxMfDTn9JcYu5cfK/pwxjcsMXi\ngO7p66NuMcOJ1t1PGfsQTdpNZyd9t4blkTZvBi67LP37xImU4e6OO7B0fr99WD9AJ3DqVMZ5obQU\nu7/+O4zvPg38wz+EsiGw8Jy3J57At5+9BDtX3kIrtlu2WLocpnVRXn01c7+b4oILMFb2Ymh3fXDn\nrCHrgvT2Ao2NGHve4izxdjC5AFO7TMRbfz+NEpoZ0sTZlfjpxf8JfPzjtoU5TGPvbZbMe5ddgOnH\ngy9KlTVRHBigG0Yfp65Qs247JTA8DDz6KLbNvz6zY9YkLTEN0zl0KJ3GsqSEQgPNFgteeAFTcQZ7\nV9xAK1epUIwgMHXejMQbQMLFgXjznbDkqado5Fy+3PA1I8HkmkwuQYs3w0nDG2+MTGIyxNusWXTf\npBRrZ6fFiu2GVDpz/TlbiDfL8J1EgvZ1ffazwFe/Simr3/EOKqiLcJw3K/EG6MKEiorIvj1wYORP\nTcVbKgf1+PHIDpt04rzdfjuJ4+eeM7Zzx4xBx/3/i4s7n6UQlRDImhBt306TKV3K2TlzgIZT4+nC\n1qfHBEvnbft2YNUqTJ2q6YZ1oZOWE/HBQeD552liacCh+e9AacsJx+HRbjC85hrxJkQq8kWJL93M\n3DJk8sQJoL0didql6dfrFppaW9N5gQwxCplUXHMN1g49F514Gxyk9OMatzYji71OvFllmsTevRDL\nl6G8HJn7l5yKt4cfTtd201NaSiLqxKbo9nT19tJnP//8kQn4iChV+5d0E16zsMnxh3bh9YHzMv88\n9UVb9rl/+QvN8ayydsyeTYPEtm2hiTfloGS0aRPn7dQpjDilClPxNjgINDair2ZB5pg6bx6GjzRa\nO2+vv56ZebOoiG68RYsoW+n/+38k5M6eBZ57Dm3TlmLhf37T+Yd2gFWyEkXGGGXi2FqWCdCLN4Bq\nZp5zDv721L/hgx90cKJPPUVJ63TxzhXTxuIfF/6R5mIPPODgQO4oHPE2NESTnv/zf/DYLY/j2aWf\no55swQLLCreunTch0HrVB7Bg92PBnbuGrAuybx+wcCGqZpRlibc9PXWoaDERb/v2UQiXZqStqgI2\nl15Ncb23/f/sXXd4VVX2XTeVFBIICQklJPQqoAgqIsU+NsSCqGMdu45lrFMcYRTHGduoo/6sa59k\n5wAAIABJREFUWMZR7DqKFQtIlyahtwDSOyQh9d3fH/ud92455/a897jvru/zU5P3kpv7zj1nr73W\n3vtqw2yAcM4Rb0C3EkcNQvlu78mbTnnbuJHUNdGQOzbeQWM/02HmTKCgAPtKeqk3Zo3yxiVvTHlj\nYNZJ7X2VZWD8eEw5+q/YtjMVOPVUCkw9go6g7NxJJ3mPHvw39O1rKbCzOnajsZHWre5gnTIFuOAC\n8RslSWedjIltUmF/U5E3pkqGbVqGtslwsxIAauXNwDZpmAV+8036ecwGfOGFNKvqhhuAf/0LrfLl\nZiFvOhVFQd46doRhx0kz8paTo2kaV1RED1NTk5i87dlD6smXXxoWHLbq3BrnpE4BHnuMGlR4DC55\n01gmAUXwoKnfNLNNYuBAtG2rSI4ccYSOvAnrumbNon2HWUk1aNkqFauOvQKYNEn49zmFmfIGEEeP\nNLvREAzDxkbhZ6qgMCV61nXrRnt4eCEZ3peVK+m1I0fyv3/KKThq71Rs29I8cxR0a6aigs4RxSYS\nUd4A3T5saH+rqAD69VPvj6WlFM2HFV8heaurA957j+zrIgwfjrxF01BT0zwERbcPL1xIG0B2Nlq0\noOuO7MNFRbTINExStB+nVPyCVS36qxtdhTtOGu65s2fra0Z5CI8MyMqiW+mJC05xqHLPKCPl7YQT\nVKKEkLxVVgLt2yOnIFOnvGVsNSBvsqwnbyJIEtCjB34edTeK1s7ytNuYUbMSBlWdpkB5E44J2LyZ\nbp5i74rg6afR8cOncdUwgZNKCVbvpkF+PrC1qiUplYqRE17BH+Rt+3bKUv/8MzB/PuoHHRe1e40Y\nQTVGAnCHdO/eTSlRAUmRzhuDYzY3D3nTNSxZsgTo1w+tW9PmrAykF+7vghZbBeSNk7mJWK8mTKAA\nU9O1SHsdug1h61ZEdloBWgwbhJ5VMVDejOrdGKzUvb1Hg7l1gaYV5U1L3gYNoiye1hL53XfAzp3Y\nNHQcHVDhuUNe+eB0hz7b4ETpaYvKW3Y2JZPMxmLs20eBqu7Xffst2UmNoAl6Y0LeRMoboCJvwgBc\nlkl5O+EE/TV37EinhWaQKmCgvIVC1KXqttvUXz/mGEouvPIKLp15M/bt9tY7f+gQf0A3I/2lpTDs\nOCmc+aUgb6pAMC0NaN0aoR27sHKlYHtdsoSIjDCKJWRnA+tDZah/50Pg5ps9t6VYJW+R4EGThBCO\nCti3j86Wbt3UdSL9+qmGxBraJg0skwCtxwUDrqJEUr23BfO6z7ymhv4IxcyHwYMVo6g0dVlGM94Y\neWvTRqHcpaVRcBVed4bNSt5+G7joIvFwvNJS1Oa0gbxI3FLcDXRrRtGshEFF3jT7sNA2WVdHBLhn\nT3WiKD2d3ALhDEs4Vtfj888pFjCayzF8OKTp05qtKYduH9Z08tY4QLndA7m2yVAIqKjAr62PUCe3\nrNgmZ82yRt7CdW+SRPsOZ4qBPXz0EXDWWZH/1X3uNTW0h2rGMUWUt4IC+qPCooRw3YSTKtoztam0\nHG0OVootgevWEUtWNEsxQ16HllhfMrR5k9J1dfS8aMa1WFHeuHvGrFmkuvHU6E6dgPvuA/7wB+OL\nZCMCTjtN962IW2bYMLIte3xGcc9vDRKbvC1fTkHOsGGUrS0qUtu9NBKzFlzlbc4cKjIWHAJtxgxH\nu/pKhCq99xjo2HQ4mMnIIPLCEhuNjcCavW0gNTXySQCHvEXmvGVkUF3A1KnC6+B2vTRqVhJGzrCj\ncERoEWqrvQ00dcqbUb0bgxl5C4Wok92FF+otXoqOk8Jsr5a8SZK+cUlYdcP996O4fSoRhcxMWq/f\nf298/Rah2+RE9W4MLONrtJnU1QE7dmBwq9XYP/VnWisffUQbngbcgKyykharyDLJEGvlrbaWDrXw\ndenIm8LKJFTeKitp7YSTB6qAKjWV1o4qEom+jUvevv6a1sSIEfrvlZUBM2ag486FGDDtGeM/1iZ0\ne01tLSkX4edKF8jZVN7YM6VaZsXF2LZ4O/LyBOSGs2/xIEm0b+/pNoQiZovjL6yAW4NiQN42bUK0\nfjMM4agA9velpqJtW4e2SQvkbWNGNwr+Pv9c+Don0JG3tWtpvSjOyuOPp1gFAK1fhSfOrNMkhg1D\nQYFmVKLimRSSWlk2tkyGsbnXyShc6F2AqQSXvCm7VYOOi8pKzbiA8AMitE2uWkUbR2amfn8Mk+O6\nOorleZUeeOcdY9UNoBhq6VL0bH+wWayTZuRNw/G5c7u4tsl164DCQqS1yeeSN+Ge29BASTyeu0qL\n44+n2GfXLm+skwsX0jMctqDrkq9Ll1ICTVOkpRqTqYhrhcpbOBGnXTO7csrQPXOD2C1qVXVToGVL\nYEH7syI2fy+guy9LltDnqviiSnnr3p0Oc022WUjeeJZJJW65hT4royGrP/1E+2xRke5bkQY3bAFy\nmqnYwoYN4Y2DcHgrb9Onk0ViwgTgwQcjB4iq49UJJ9CHpPijlRCSN+4uSMhqmYZvW5yFg29+7P5v\n0EBXa1ZRQZloQDVke9cuoKCNBEk1Zl4BjuyuGtJ94omUMRCAuyGYtogDpILW2J3aFnvnrDJ8nV3o\nyJvRmAAGM/I2axaxjt699ZuylYYlypo3hksuAd59N1pn+d13FKGNG4d27RTt3j2se9Ntckb1bgCl\n8CQJwuKPadPooejbF2/u/g1a33cddfmbNIlGImh8I9x6t6lTaY0Ji1PC0AS9zU7eKipokw+zDiPl\nTdiwhKlu4Yyd7poF1klhFvhf/yJrBS8DGP4Fs296A6fMfUhoyXQC3ea/Zg0dNGErslvylpZGwolK\n/Ckpweb528TbiEXyBtCa27cPtM4MElF2we5L5OOorqYIgXPRrCtnfR918x2hahu2TAKaDm19+tD+\nGn62hAmjTZtowWoUHSXy88Pr8ZJLKOHiIXSD2TWWSYDyUj/9FL4VLVrQHxK2rwvJ2/799LMGDUKb\nNlCXCCjq3jZuFLhF58+nX6ghS1rsG3wKytd8a/p3OoHuzJw3T3c9LVrQ9W/cCFoA6emRDUhomwxb\nJgHFZ8sQlqzmzqXHU7fmQqHo8GAjhJuZjMyc1SzkTZdg1JSlWBkXwE2mhfcL3dzHLl2AykpsWNfE\n33MXL6ZfajgLJgyWWPvmG2/I2/LlRM6eew4A595oGs0x5OZGu7UqyZtw3QjI20apDF1SKsXX9/PP\ntslbXh4ws+AsIqWCdv12oTu7NZZJgB6hqqqwGpqWRnu0wsEAGIwJMCNvLVqQ+jZhgvg1X3whTKTl\n5NAZ2dAoUQLgp5/EP8cKzjyTGsCFcfiSt/feo65s//kP1XApoDoUCwuJnmtakgPRbvC6DLCo3k2B\neR3GQPrYe+skV3kLb9xK8rVtW/gQE9XYCGyT+/aFD9WhQ2kDE3iUnZI3AFiZezTqZhhkKxygWWyT\nYcskAPu2yUOHaFfQeg+6dKGN+euvVaqbrrOhh3Vvqs1fls3JG+t0Jqp7+/vfgX//G9i5E9eNWoMf\nHl9AKuGnn9I91ahvQvJ28snmF9+jBy3msHTlCXmrqIhk33QHm0ZBMVLehA1LFPVugEZ5A4RNS7hZ\n4GXLKKDnzcFTILVXd7zX5V7guus8s1/o9hpFvRtAS1tlm+zRgwhemGBwyVsoRAQjbNHidZzcvWy7\nZ+Rt716QNddD8qbb+375hQgEp742NZXW0Ob6InoIwxGo0DYZblYCQN2wJC+PvhBOxAkTRl9+yS2O\nVyLyDI0aZeg6cQLdXEAOeevcmZZBZFSmQlYxrDE/+mggI0NtmwRUz+S771L+SId33qFnSJQAYRg5\nEl13zqI/xGOo1k1tLSU6wp+1Erq6t/DfJrS/LV1KrwN9tqq9Jkzepk3jC/dYupQeFCtt84YPx9E1\n05pNeYvcG1ZrpEh8mo0LkGWBbVJB3lTKW1YW5KIiyBs38bsqWrVMMoStk56QtxUrgEcfpTrnqipL\nYwIAWtqqurcZM4CmJtvK26r6crSr3yA+R+bPN02CaNGyJbA21Jn2sHnzbL1XBN3zwCFvbAaqkXVS\nGL8tWWL+d15zjbH6Jqh3Y9cWSbawjJZT7NpFz7JilvDhS97uuIMC5FNO0X1LN2tGYJ2srqakikqd\nDoV0M7J42NLvVGQtX6CJ/NxD9YHs3Us7dXj3UZK37dvpQeaSt+3bKd2tGVKRnq6wXmZl0cIVLCju\nhmDWrCSMjUWDIC3wtu6Na5t0Q94UlkkAettkURFQUwP5YBU/C75+PX0uvCDq0kspqfD99/RZhAPz\nkhJNW/pDhwwHOluF6rNat47+p1074zeJ6t4qKohMhOcB6cYFnH22zhqha0IgyxRMm9W7AXT/+vWL\n1Dfk5XHyCf/7n70D4YILqLNaKKTP3inq3YAoeYucYx060Oeye7fYNhkezs3ADsfIz+CQt8ZGWoq6\n5qhPP01NSYTzAwitWwOvt76DIpRXvWkDb0bedMpbdjZljMKBOJe87dhBNy28IHkdJ6vWCJS3piaV\nymCGCHk78URSiwXuCrswI/xaRO6TQkUW2iYVypuqYQmgsk4KbZPKeUICRAL8Hj2iLb49gs42ySFv\nkqSJVRSyipC8Kbq3cm2Ty5Zh3To6gnR/vixTIm7sWNPrb9MlH6syjnCfBedAtQ//8gvdf05RqK7u\nLfyZC22TRspbmBj/+CN1kNfhhx/EDVy0GD4cPbdPa/6aN+ZsUhBtXc1bz56UOQpvHnV1dFTo2r2L\nyBuA+tJuGJCzhl+Xa5e8nX468OWXyM0OuSNvjY2UADv5ZDpD3npLT1I4rimGSN1b27Z0Vi1aZJ+8\n7WiFFEnmty+WZTojHdgmDx4E1fJ99pmt96qwZUskOyGs5dfAbFwAl7zNn08JOTP2Y6S+bdxI8Z0B\nAczPV9S9udlzfvqJnuNFiyIuhsOXvM2cyc1qAXSoRwagAsKmJdyDZNUq+qKgkxdDSecsLB58DfBX\nb9ujqmrNKiro4Apbz5R2EkPlbckSWsScLKRV66RQeTOpeQOAHaWDkLXUm+wLA1d5c1PzNns2PVl9\n+gDgKAThWW/VyzboCT6gr3dTYuxYCrLuuy+iugGI2CZlOfzzTznFE/VNdzAaqW4MIuXtsceA3/8+\nwpR14wLOPlu3Oe/YobF8V1TQbm7Yi1gBRdCrU94OHACuugp46SVrP2vXLmJj27YB//iH/mDUBOIt\nW9JnG0msKTpOcq1vu3bRmlJkRjMy6COO9CjhkLfNm+m8VSUgdu+mTNoNN5j+Wa1aAbv3pwGvvEJd\ndc26qFqAGXkrKaFLVNkeFdZJLnkLWyYZeMpbw2aB8rZ2Ld0k4RAvNSJWqbZt6QQ36CpsB9xmJYKz\nBlDUXRx5JLBwIRob6d7o9s/6errH4UBcN9g2HMg3NtIzrTub6uqExfFKRJ4hSTKt+bYLK+QN0NS9\nKWQVIXlTqNk622TXrsCWLXjn1RpcdBFnL547lxayBdJfXAx8g1OomZLHUK0bjmWSQaS8WbFN8pS3\n0Lr1mD1blU+Kwg55GzoUhZsWYNt6fbMlt+CSNwU6d9aEMWlptNeEzyhhIi1M3iIWagX2FnbH0a3W\ncN4E++Stc2egdWsMkBe5I2+VlbSxZmdTTdWzz6LqoBz93GXZ0H2grXsLfTMVDQ2cfVjRSEh7plZu\nkFDTtlwhjSuwdi3daE4NlxE8I2/XXUdlQtOnq8/u6mq6tnAJkRKq4fIc5Y1rmzSzTCohUt+++IIc\nVAYuiEhSoX9/YpjalvFWMW0axYujR1OiCofzkG6DzkkpKZrs3YgRdDhoanW4M95M6t2Uv/793veT\nKsCxZDqFquaNdV4Lw7Lytnix8OFXDfu1Q97276cdQDRXTYG9vYcid+tqVX2MW6iUt7176bMUth0L\nw4i8KSyTAMc2CQBlZaiqqDSf8aZFmzZ0YO7bB1x8ceTLWVn0T+T+e1T3pvqszCyTDJoZQwDoXn36\nqYpM6JS3wYPpC4o1p+OxVlU3hnDQC3DI2+OPExmYOdPaz2KW5/ffB555Bkds/Tp6ADQ20jOlCcQn\nTSI7eeRXhMkbN2CYMYMOfe1MF+V1c55JrmXypZdoMy4pMf2zIsHJgAH0+dx0k2v7pBl5S02lS1M9\nQgrypqt/ArjkTfVclZQgbadAebNhmQSgDtg8tE5a7TTJoFXe2LrR5c6WL6cgMHzT2RD0yLEUHhew\ndy/xV1256Dff0NoUDi0iqNSZZiBvZjVvgCbRbGabrK+nwCgcTOlsk2lpkLt3x9zXl+PyyzkX9e67\ntJebWSZBt+7z+lMgf+190xLVuuF0mmSwZZusqaEHMHzW8JS3xjWVKC/nKLWhEH32XD8lB7m5aOjR\nFwVr5lp7vQ2oyJumWQlA8dS2bYrh7oAqEOdaJquq6AHq1k1f8wZgc3Y39M3gtHpnNn3RKB0RTj8d\nxx/4wh15UybATzoJqK9Hy8U/Rf+2X3+l7IRAPIgobwAwdizkN95ATrasX/pr1kQaCWnP1A0bgFDH\nMr4i78AyCSgcM8ceS0zKiXwry7Q2HngAGDsW/d//K1pmhd0UCxZQAoMzaVunvC1Zoqq74ypvrNOk\nFYjUN4N6N4ZI05K0NLo3VuMYLaZPJ2l93DjqqosYKm+SJJ0uSdIKSZJWSZJ0r+A1T0uStFqSpEWS\nJIlTnRagsk62bUs9dDWMnHuQWKh3A2jBrNrRioYV3nZb89ShaCxElmveBAWv2p+BIUPoFNFkA2SZ\n0ziFbToWDsj8kizMGngTBd4eQZXlZ81KzK6lpIQWgdZOpbFMAhx7FwCUl6N+9Qa+fclIeQOAiRPJ\n065p6aSyTp58MlkrXdq9IgdjKESZVjvkTblun36a7IaKP1invKWkENNRWCd1PPbbb63VuzEolDfV\nENodO6j2bvJkOmisDDpjGbUOHYC338aDGy5Dq32V9L2VK+nrGkY2ZgzwxhvEo6ZOReTecBuWvPUW\n16qtm/XGOlKGUVmpEYobGuhv044HEEAVnPz5z+QQeP99S+9VQZHAUu01skz3RxPQGI0L0NU/AfSH\nGihv+zKLURjazuerDsibKhHVHOStoYHqEg2uSzUuYNEiS/Vu7H3FxfTvu+8GVqaT8sa1TMoyNQ26\n/XbT61epMx6TN9VnXlVFzySnnmrAAFoKe/dCZZvkznlbsIAYTfhhy8+nQFC5Le4u6YsejUv1fMiG\nZRKghMTqgmMgr1mjyUq5R2TdhELRjtUccMmbLPNtk6y5Rfgc0Slv7dsjZd8enHw8Ry2rqLBe7xZG\n2qjh6LF9mtddzaPEtLGRCILmjEpLo71G17QkbIHjdpqsqKAyjrQ0rm1yndQNXUIc5W3WLIrxzJpp\naXH66Th+x4eoOeDivFaWnkgScNNN6PXds9HP3WQPVClvI0dCrq3D8IzZ+hcqRr7olLdKIL1HOV95\nc9BpElAob2lp5Gt20uV27VraXH73O2DBAhStm4PbPhxO8Z7AMglo7P0FBbSBKBaSjrzJsj3lDdCr\nb/X1FLuZuCAitknAedOSgwdpHxg8mAj/2rWQ162PDXmTJCkFwL8BnAagL4CLJUnqpXnNbwB0lWW5\nO4DrAfyfm9+ps6RwDjFusxIbytvGjaCFduBARMp0C9UHYkV5Y62YlSedwQagIm8ZGbSANfelro7q\n41TigsVmJQDd+8/KbqbgMpImcgeV8mbFMgnQRlJYqL+GOXNotwkXgQNi5a1p3QZrYwK06NePmwRQ\nNcgoKaGF5LLANxI0/POf9B+KZhpCFBbSRski8wMHqJPRHXeoXqZ7jgCddVJ1KxoaKEs0apT1P+CI\nI+hQq69XHzQPP0z1g926USCknZ/Hg3JTHjECT2X9ER1+fx5JBpp6NyVOP52W68UXA3Oq+kZsk6qA\n4ccf6RpuvFH3ftV1Z2dT0KSQrNav1yhvH3xAf5eBoqNETg6dF/X1oAfhlVeAW2/VSBQm2LqV1lw4\niaXaa9iHrLHLGHWctGKb1CZF1laXoFP6Nn7exQ15GzGCPhvOfD27UCkgy5fTM8otRiJEbDudOwP7\n96Nqw27TejeAHr+ZM0lQy8gAzr6rJ2qXrcWT/6jX7zlffEERrCLhJIJqLfbpQ/+jYuDOobJNrllD\niQpOEJyeTvH5rFnQ2SZ1zY0U9W4AnTuqoAfAzP19cW73Zfp1M2cOfTaKvdwMhe3ScfDI4Z51+2Wo\nrgZyM+qByy8nhipYy1260DPV0AA6kHNzgU2b+LZJVjoRhk55S03FjoxSnNqTE4jbsUyGkX7ScIyQ\npkUb6XiEqiogN0cGXniB1gMnu6FzmyvGBRh1mgTAtU0uOdQNJVUC8mbHMslw0kmoyS7EUf/nommU\ntvTkiitQvvIrFIfCQYFBvRugUd4kCfvOvwZXNHBKClavjpA3RqxkmcLErVuB3D4C5Y0z3sIKVElX\nTmmFJcyZE42Z2rXDS+d9gTUDLqCN5JVXhORNNS4A0M0I1JG3detow7XgIotAq7799BN9jiYuiIjy\nBjive5s5kwh1ZiZtrOefj6a3J0OSuD20VPBCeRsCYLUsyxtkWW4A8A6A0ZrXjAbwBgDIsjwHQL4k\nScaFZwaw0rREp7zV1FD22aC+gSGyYFJTacDuPfd4FjhkZ4OeNMWYAEBtBY0ob5mZ9B/scG5ooL9B\ncJipAh6Aa51006wEoPivsrqIIuFnvJlNpSJvVsYEMPCskxrLJMCpzQGAsjKkbDKwTRqRNwFU4wIA\nT7pOVlUBLRf/BDz5JHVdEw5w0UA5W+rll0lR0nj7dM8RQK+bPRs4cABNTZqPY+5cui8mm5oK2dn0\ne5cvjwaeGzaQcvnnP9Nrhg41txw0NFDmUEGanwzdBvTqSVbDBQsMydKIESQo3vB0Hxyav1QdMDQ2\nUi3g449z0126jpMaRVxnm/z3v4l8WQSbaxYJUI47jiwUGrJtiI8/psj+wguBAwfUnvlVq8gyqYmO\nVZ28AEc1b8qkyNJdxSiSBSMqbJI3lRqZl0d7pVNbigKR/a+ujn6eCcGO2HZSUoABAxBasMgSeWPo\n04eE+hWVLRAqLUe7gyvVrmNZJivRAw9YUgtUAb4kkd3GI/VNRd4ElkmGSN1baSnVaDY28t0umgZA\ngNo6WVcHvL+sLwamcxos2bBMMhQXA2tOvJ46AXvYdVLefwDH/u0MipS//VYYWWVkkBEoEjuH1Teu\nbXLpUpX7Rqu8NTUBK+vLcUxxJXT44Qd7STQAGDYMg5tmY8ev3g53z9q6Duc+dwo1W3rrLe5rdOSN\nBeGybNhpEgDXNjlvT1fk7V6nb13vlLylp+P1cz5E3ublwF13OSNw2jgqPx+LelyE45a8SP9vR3kD\nsO30K3Fa9Yf6Fs0K5S0tjfbp6moKE4uLgdSu5XrlLRRy1KwEoJ/f1BROLp52GtVo2Z1mriRvAA5W\np2DZ6X8AvvqKgl+B/VeXYNTMCNTVvNlV3RiU6puFxlGAJgl1zDF0Btjdc5hlkuHiiyG9846p6gZ4\nQ946AFDe3l/DXzN6zWbOayxDV6szYgTdBMWDrDtI5s+njdKk8xv7+QcOhPnaiBGUFXjsMaeXC4Di\nw8bGMEnZvJl2eUUmnKu8AepAceVKWs2CT1alvAFE3jTDot00KwEUas0f/kCZNs3QRCeIBIrMJmNF\nXQL05I1jmQTEtsnMbRzlrbGRdgsr6p8Gutb0LuveQiEg+9BuZF1zCWWn7GSTmGWnoYFmjd11l+4l\nXOUtN5cis6++wubNFGhFlpvdejeGsOUsQt7Gjwduvjnq/bdC3tjsnnBWNxQCag5JSH31ZTqUXnlF\nqLwxHHMM8Nq3HdG4vxq7Vu2JBuEvvEAnwPnnc9+nq9XTRCIq2+SKFfQ9bs9zMXTWoIceomfXas3t\nRx+ROjtqFHDddThUI0c/N029G4PONllcTOtl1y5HDUsWbipETv1evVX4wAHa1ER1pBzosu0nnWQ4\nu9IQ33xDa6NrV5x3QxFen5xJzP0vf6EEiwFUmd+jjkLOtC/0woIsC8kbQ0oKkD2kHx44rwITJyq+\n8fnnxGAEa0+L3Fy655GjzkPrpKrmzYS8RRLNmZlUuvDrr/ozNxQihnf88ar3KhOVU6YAoV59kL1e\nQ97YXm7RMslQXAxUlJ9FQd7DD9t6rxBbtuCpRcPRUN6dVHWTyIpnneTaJjWlE9p95pdfgJ05ndF6\nn2bWq916N4bWrbG41Ui0u/VCbwZuNjYCjz2GB6YMwa5Bp1OALlCWdOStTRt6Bisr+bZJDXnTKm8r\nNuVAbqV2QKChgfZLK8O5OUhvlYP/Xvo5ndl//7u9N8sy7f2aOOqbHjdjwNwX6drsKG8A9rcoxvxW\nJ0XqoCJQkDcgum4iScSyMj15W7uWzk47idcwJElhnWzVigig3b1Y43qLPA9HHUWxuyDeYs6HCJdW\nKG+MP6oex5kznZF3pfpmod4N0KzL3Fwi7nYba02bpiZvw4YBu3ZiQMZy07cmZMOS8ePHR/75gdNJ\nUler064dbQaKAX66g8RivRtAB21pqWL9P/ooBcAu7CmHDoWHw27fRgNWzzlH9X1tzRuXvBnUu2l/\nBgDKKm/erErnuJnxBijqurp1I9vGK69Yep8RIsrb11/TBY7WCrcCaMnb3Ln0x2mUSZFtMncnR3nb\ntImCEQskX4v27TVC4Akn0Ibt8KCsqQrhDekKSGPHUqcnO2DjAt59l05Ojl1ClwRhCFsjdO5Ru/Vu\nDOGmJS1bAh33L4U8ZQpw553R7x97LG3umqZDKsyYocqoMZUgpWUOEZd27UzJGwAMGCghrX8fXNBn\nGeVOdu2iDfupp4QZfrNZbyrb5CuvkLXKzPOggU41z8mhn6M9uHnYu5f2t9NPp31qxQocs+B5S+RN\nldWUJAo+Vq7UkzdZpg1RITFqkyLLVqaiIa+NPiPA7GEGnbu00N0Pp01L9uwBrrySDuavvsLrdy/F\nH2/cT5vOrl3U7dTkOhoawo/w3Xej7fT3cfbu19Qvqqykw9usi5tSDQeiqtv48ZZrdFL/GAe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JiBz1LPRdHo40ipaWzUDegG1MFOhLyVaJS3DRsobWuxHpGBBWwqQjtokK4BExeffEKEitNt0Kny\nxoKHAwcU/RAuvZS67jY0WO9O268f8Le/EWlysPcCnBrMgQPpvnAPRdBB9sgjpGhMmsQtxmc2WTtc\nsrSU3rMenZG+aT16t1hPRGnyZPAntRMKCigXdPHFii2fKW8uLJMAh7wBRJRnz6ZGFGZYtow+nzff\njJBPVidu9d6kp9O9YYaZUCj8PHYqohjlxhtpnIgmGSZJ0c820kxSktQF+C4sk4BGeWPIzaW9cMIE\nDntRoKGBEtLKZlNwQd7CWJ3ZDwuueoYesvPPp5ugCWqVdW+RPZf9QFl2PpxbAS55Y+M4RPsvg4Hy\nZucMV65f1V51bbhxiUB527OHQtAIpy4vjypvLi2TAEd5GzaMrsVsL965kwIMDbG1c190ylsYM7tf\ngdcvm0rr9sYb6Rl3obzaBTfharVpyaJFdJ5yzsWaGmBHsXnJxGFJ3ljAqSOlLAMZCuHPqy5H7bCT\nTZUHEbjKG0OnTnQgrF9PgdE331CQ9cwztKF89hltRC+9RHYmSbI0MZ0prqpzT5LoZ2qyUaL36zZm\nQGWdrK4GCtP20gH1xBOOMr8q2yRAGcRffqF/1q+nLnmjRtFCXr2aTup77uESuPoZ89APFUi5+krb\n14G8PLr+qVMpGDLI7vM25pV15cjZqVDeZJlOXC/JG0AzxHJyKAju3JmslDffHOkMiK1bKbD45z8p\nIDziiEgtgSvlzQJEiZCde1LxTfqZyJ/+GRH/4cNt2Y51OOMMYNgwfeDJkJJCzV14dW8c8uaK2EoS\nrVMbDYxOOIFyBREnQ/iDXr8eKO8UInveNdc4vCAD5Q0QWycbG2mv4TS8iOw35eW6DL8Suo6TAJCa\nin/hdtRNn0fP7pAhdCBZIW/a6HnxYtuWSQZd3RtrwGTUpnr3bjrIJ03iPjxe2CZVowLuuIP2DKtB\nY79+pE45VN0Ajm0yNZXWsqju7f77SYk0GDWimvFmA8cfD0xb1xEZe7fhwWXnUZbD5Lli8UrEMglQ\nMmTrVtrLW7UiddwBCgspyFc5ALOzgeeeowSSUclDfT09KxMnqpq1OFkzSutkTQ2JBVbyRKzuTVUO\no8wku2hWAhjECIMG0bNlVO/z/vv0OSmIQChExN9KzkpE3iLdJrOzifx//bUuGaLcHyO2ybw8OgS2\nbnVtmQQEjc0A85rSqioqiua4ouye4UrbpGrdnXkm/eFTp+oaCeXnUxjRtq1COVcqby47TQKahiUA\n/aJTT6VEsxHmzqWkr2Z/tHNfdMpbGLt3A419+hM53bGDHCZmHX89hM42CVhvWiKwTALhszvHvGTi\nsCRv2dm0EepGjDHyNnEi8up2of4Ra4WHPBQX0883HGOWmkoWgvffjw7vvOsuyiJyug5ZIW865Q2g\nDfN//zMNgnJzSaSL2DUYGHmTZerEv/hBUngcBlUq5Q0g4vT731PW7OijaWdds4buRVYWHcTffgvc\ne6+OwKU8/BCezrxHMaXbJjp0IBJkMsxVuzE3NgKrasuQsbUy+sXt2+l6dYOcrKNbN84BdeyxZMV5\n8EHg9tuJ3J55Jh02bdsKf5Zr5c0CROMC1qwBFnc6m9bdt986r3fTQEjeACJoWvJWXU0PhSZz6Mo2\nCThqAvOXv5CYEwohEolUVgID93xHa8aBws8gVN4AUvQ++EDfFnTaNHrWOEG5lWQRwCdvskwBWWav\nzhRI3XorERRNZjk7m2Ob1CpvDurdGLj35MQTja2Tt95Ke4HgYHTbsCRim1RCN5naAMcfT8kbC0Ng\nRdDZJgGxdXLRInp+//AHw5+p6y5qEcOGAdNnp6Mmrx12tOlN54AJysvpfarHJS3ccXLCBMeWSfZj\nuE2YTj+d9ttTTxXPTpwwgc6Ta69VfdktebOzj+flUQfP1FQFf+ncOVpM7aLeDVAPSNdh4kQ6S3nZ\nPFmmZK9mHdXUhEe2WIgkjcib2f1RJnJUdcbMOukBeeMqbwCxaCPyxlr3c9i53XNKa5uMvDctjYjt\nrl068paXR9usYopL8ytvADk+TOqytPPdAFpKdp4pboIRilEB+fkUg5s19vIYbB9WiUi9etEXVTOj\nOBA0KwGiY8UwbhyVTAhwWJI3QGD3Ki8HWrSA/PzzuBDvIb/IedcZ1rBHqL7ZhFXlbeVKjuOkSxdK\nl5kEQZIkCHi6daNvrl6NFptW4+hlbxhaqczQqRPt76ok5k03kfKwYgUdgtoIp08fUijvuYcsKQCw\neDFSFszD5JbOFQt06EDZHxObjdY2uXcvsCevHJKyI5OLejeGrl3N7fFWEQvlTTczMYy1a4GdA0+h\nQ3HKFHf1bgqYkjdt3du8ebTuNZGla/LmAKecQp/HRx9BZZvsNu0VWvsOlRTARHkrL6eFpSUtH30k\nLIJnQZUZeOMC6uuJ26akgP6mK6+kRaJRtlmwU19P+2SPHtArby7Im25cACCue6urI2vynDmGw5md\nkrdff6XYWWWbdILjjyeV3cVa4T5DIvL2xz9S1kE3BVkNXXdRi2B1b/+75G18cuZLlv6u7t3JhaZ7\nad++9MMcWiYZtMOOI3j9dZL7fvMbImjKdTpjBqnnL7/MTby6IW929qr8fMqXDR+uuAxmA/rlF0r2\ntWtn72IUECpvAO1pl1zCjw2mT6fMhcbqa+eMEpE37pBuDdhewMYzRkbcde9OyT0Xw7kZhOStd29i\nLqI5vwLLpB1VkkGovAF0xhx5pK7BVl4eVeiohD/WsMSDZiWAgLydey5lGoyCZE69W20tnS9WjTwd\nOpC4qi37Vo0KkCRXSXcnSEujsEQl8EiSog2vAKEQqXNGyls26EC94Qbhj/EXeQOA++9H3dsfYUda\ne0eZRCUMrZM2YZW81dcLlDeA20mR9zO4dW9h9e3EL+/GvJF3cX6JdaSmckhKfj4pa0aydZ8+FHjd\ndx8RuIkTceCaOyG3cBA1MHToQBu4SYCoVd527wbqizqQ3M6kSpf1boD4gHKCWClvPPK2Zg3QoVdL\nIlRNTY5tTFoYkrchQ+igUUrHgiLkeJA3SSJX2MSJgNylK0Kr16Jx+25k//iF/WY7GhgqbwBl4ZQz\nh2SZOhYKiuAj2TsT8MYF6AZ0A9ygnAU7a9bQz8nMhOfKm47Q9ulDF8gKigAiLQMHkj1o6lTDaNJJ\nIJ6VRcHLjh0c26QTuCBuAMc2CZCMtX69evP//ntSBa67zvRnOrVN9utHH/ePDUORXeQy09S3L/1A\nTiBsB9y6N4AOruuvp2CbdbN89FEKJC67jGrXOeeiF+TN6vvz8ihXNmKE4ovMNumy3g2INiwR9kG4\n/37gv//VH2KPP04WYY79zeo+bGqbNABLbm3YQHtNROTq1o1cCS6GczMIyZskhSVmQd2boFkJs8va\nKcNTKm+6ddO5c3iwohp5efS7VMpbSQndsCVL6EO3WXPM+x068taiBZH9SZP4bwqFyDbpolkJQOdK\nQYE+IcMd0h1jOGpasnw5vTGSgVBDxRUeeED4Yw5b8iZsWnLNNdjT/RhbThYRuE1LHKKmxnwDLyig\nf3OVt65dzXc4GASBJ54IPPEESrYvxorTbrd0zUbQWSetondvsvHcdx/w44/YfcH1jh2TAGjTvOwy\n04BIuzHv3g20KkyjLCaLXl2MCWDwmrzFQnnjJUEit+KCC6hezWXAyWBI3lq2pF+qtDVp5rsxxIO8\nAdSjqKEBmLa5K5pWr8UNLd+CdOaZpuMGzGCovAGkRnzySbSv/88/0w3gBA2sY52V5BXPksIlbxyw\nhEjEMgnQJnbwIBHwmhoqFuPMmLMC7l7GElFTp9LCveoqqlN6+GGaXWbQjRdw/kyxugvXypsH4D5D\n6elkG2MBpizTHvvQQ5ZaSDolb6mp5IqaMsWee5SLceOoIYZLCMkbQ6tWREZmziT7UqdOpOiecw73\n5VbObi2c2ibz84l/qxxVzDbpAXnLyqLPTFj6V1RE1v5wp00AdNDPmsXtH2BnHy4spHIF7TNt5Wew\nRI7KMgnQeTF1qieNKoTkDTC2TnrUrAQwUd4EYPuR6r6kpNDm/uGHrlU3gFPzxnDNNUTeeN2QV6+m\nZ01TGuLkvvCaliQKebPdtMSg3g2wXvJw2JI3ofIGzYBuF4i18sYWoi75N3KkOLuhgdAWMWoUsHo1\nJh/5D2Tmu5QkoRkXYBe9e9NB9PbbOJSa604h/dOfyBZkAq1tMvLgK+eheGCbLCykfUxoTbGBWBAU\nURIkciuuvdZaC2mL4GbwlFBaJ0MhYS1DLCylPKSk0JK7/6VOSN2xFVfW/p+rRiUMXJVJiQ4dSMFi\nA2MFXSaBaP2SlYwvzzZplbyxZ0pF3lJSaFHt2EHdA3v2dDZkHgaJqJNOou54ffvSi5Yto3thIcHg\ndN2w4IFb8xZjcGveALV18sMPKctw0UWWfqbTmjeAEs2bNnlw5nbtSsTcJbTirxA9epBH8fvvDUmj\n0yY327fTs2RnH8/Lo/Nfle9gWeRp0zSSnDMY1r0BpLBNn06WdYDq4K6/nhvA2AnEWe81bXLTqvK2\nd6+i0yRDt26UqPCIvNXUCFRJo46TZmMCbIA7KsAEXPLGvuAheeOe2/3704L95hv99zjz3QBn94XX\ntERlm4wTuE1LBg2i+idRoGNQ7wYkAXkTKm+gAzbRlDerDUvS0zlJ/KwsQ6au/RncgKdTJ+Dbb/F9\n4YWeBL26jpN20b07cOKJqKtz3qskAgtBm9Y2uWdPWOnUzkNxSd5EB5QTxFN5W7PGtQjJhaHyBqjJ\n26pVtDtyajzipbwB1E9h2+507MrsgKzUOk8CKnYIGM6CveiiaIG4AXmzuvkDtI9WValnINohbzrl\nDYhGz7/8AgwYYO1COODWvAFUs9StGxHZJ56w5EhgcGpF7tSJnJr19Y6nQXgGrm0SiJK3xkbKMDzy\niGXPltOaNyAqjLsUnz2DZfLGcMwxhh+qk304LY3ih7Vr7dsmVfVuAB1Usuy63k354wyTizk5ZNe6\n915ieW+/Td2RObC7D7shb0x5U5E3dl57QN5SUyn+qq3lfHPAAGIP2sOysZH+IM58OafK2/bt9pp6\nCMlbWRkVw7nsNAkYkDeAkpcvv6z/OqfeDXB2dmuVt/p6OrPinUjj2iYzM8nGzuucLcuUBEhm8lZW\nJiYPh6vyVlBA+7OLUSVo3dpgYz7pJFTXSJ4QAse2SQ2sBopuwbNNtmkDdVcmD2reAEHHSQeIlfKm\nHbuxfz9tjC7KIoWwTN5k2XDoZizqAUVITSVH2qKqblg65Gp3D2wYGRn0j9GYJZx/PvDFF1TbVVUl\nPJTtkLeUFBL1lHVvrmyTQDQCcVHvBhioke3aEXk98khbP481EHBCUjp1IiGRTSeJJ4TP0ODBtCk/\n+SRJqqecYvlnOrVNAlSqmprqzZnrBdq1owYHXsFpEo1ZJ+3sVeedx5knLkkUjIwaZf8iODBV3gAa\nKr11Kw3jGzNGOLfPLXmrryenilkCV2ibbN2aRjK5GM6thNA6mZZGBFFrh1u/nu4NZ8N1cn5nZdG9\n2L/f+rphBEbXdJjdKBddkJW/Q0jexo2jUpgdO9RfF5A3J2e3Vnljyfd478Vc5Q2gWsBLL6UmWsqH\njXWNZX0sOLDabOywJW+Kedw67NvnTeMZZjX3AlZ880VFNDvYDcyyal6pOa6VtzA8Ud4swNQ2uX8/\nRXYeMBavOk7GQnnLzKRAXRkMMgGyOTZGU/LWuTOd5ps2GZK3eCpvAJVZPdjueWy7WBtpOYdp05K2\nbekwvP566vQl+IDskDdAb520aqFjz9TKlRrXkFJ5c0neDO+HTdhpa65FaSklseOd6QUMbJMZGcSk\nmOpm4wF2Q95ycshd7UHeyxPYVt5M4Ja82dmrBg8WiEgDB7oaL6GEqfIGEFn5+9/JDqdjk1HYtcBp\nyRvrNGm2VJnyprNNAqT8eJBAAyzUvWmtkytWcC2TgHOLNqt7s7ruSkqoHFEXR5WVEYHzoDBMWPMG\n0IZ07rnRLuIAbSgrVnATbE7ui1Z527Ur/vVugEGt+g03UNOSX3+ljeCuuygZwg2gbqkAACAASURB\nVCyTBgve98rbgAFE9Lds0X/PK+WtoIBUccNaFIuw8oEMHQq895673yO0TYbhFSEoKaHn021wFSvy\nxus2GVHeKis9ZSxe2SZjRVC04wI8cI8KYUreJImil5kzE5q8ZWQAb8zoivMv885DZ9q0BKAs5/z5\nQsskYJ+8aTtOWlWnmM2oVStNsoxFHwlG3tzsfZ06UWldIpA3oW0SoHlmY8cSC7ABN+QNAJ5/3hNH\nnydINOXNk/rc118XNlSxC9Zx0hSjR5N6ohkRooRb5c2KZRKIWqh1ypvHsN20RGc7iMKpO4TVvVld\nN9nZwGuvcb4xfDhZXz2AoW0SAH73O6qNZxaeBQuoMzBnU3FydmuVt92741/vBpjUqvfoQXbSxYup\n/rhvXxqjZWCZBJKAvKWkiNU3r8gbcyt4YZ20UvOWmmraLM0UhrZJeEfeJEndUcspYmmbNFTePLJM\nAodXzRugrx9trno3wCSDxzB0KPDZZzToUjAeI97kDaC9wUIjP8uwRFbGjAHOPtsTzzyDtuOknWcy\nO5sTu5SU0OGdluZKyRbWvDmEm+eptJQIToxHCXFhmAC58051BtwiYrUPxwKJprzF0+LNQ5s2Fhtq\nSRIpuQaw+7fxlDcr72/VihJMVVVCB6cnMCRvgwcTWVOymARQ3oQoKzOcE2YHpuRt2DByzLA6L4Fl\nEnA+a1NL3hJBebOUCCktpYZIK1bQ2BbBbFYGq2N+DlvyBpAF/Pvv9V/3irwB3jUtsRtQOUWsbJOA\nN9bJWNomuQ1LSkuJJKxalXDkLVYdFbVNS+KqvAFE3iZPpsBBMMkzXt0mmxOWlLdWraglvsGE01iS\nt5wcDnkrLga++86V6gYYdxR2Ajd7X7t2lFxLBOUtN5cOeF53bqSkOLKQuVXeEgmtW9MaVjbhcYNY\n2iZjAcvKmwXY/dtKSylRyJqCWFXeWremPaqsrHnrnAzJW2YmdRJUNqIQjAkA3ClvmzeT6ysWsZEV\n5ObSuRIKCV4gSVH1DTAkb06eh+JiOhvZukkU8mY5EQJQ2cMf/2iaffC98gbEhrx5pbzFkrzFwjYJ\nuBwXEEasMr5C22RmJkWJ06d7Jjd17Eg/323wEKuMbSyVN0vkbdAgOgwElkkg8QIiL+CVTdBqwTND\nx47OGpYAAvLGBsS6JG8dOpAtnktSHMDN3peaSteTCOQtJYXWvulzZAN+Im+S5K365nTdsHNgx47E\nSjTZCjhNYHcfTk0lCxxLiNuxTQLNa5kETMgboLZOyrJwTADgTnlbt47eG++GHAwpKXQ9VVUGL7r8\nchpNcPCgqfJm9+zWNtZKhDEBgMX6UZtICvLWty95/7XzH7wmb14pb7HYwM1sk15ehxcdJ+PesASg\ndN706Z7JTcz+um6du5/jR+WtRQsKxtmsaeGLhg41HEibaFYkL2BJebMAq7YLBjfKW34+x9nKrJIu\nyVuLFrSfGQ5ctgG3iatOnRLDNglYTILYgJ/IG0Dkzau6N6frJjWV4ofFixNrr/Iy4HRyRimdKVbJ\nX1YW1dfqmpV4DFPydsIJUfK2YwexCgGLcKO8rV2bWGsGsFDyUFJCZ/ZTT9ELu3fnvsztrE0gcZQ3\nL1VshqQgbykptFa06pvXtsnDTXkTbcxNTd5K8YeTbVKovAH0IR865Clj8WJcQDyUt0OH6L91bYc9\ngiRZGNQNAFOnGrbG9qvyFqvmSEpoyZudgc0ff8wZQclsIS7JG+/a3MAL8pYIyhtg0HHSIfxU8waQ\nzTXeyhtA8euyZYm1V1kaFWARTvZhJXmzqrxJEu2PcSdvxx1H9by1tdFmJQJ5zOkZVVxM9yeR1FrA\nQt0bQJ0/J06kkgeP74uyaUmikDcvVWyGpCBvAMV32qYlXg3pBrxT3qw0LPECLADkDftl1+CVFM+U\nN8PBwiaIx5w3psBFPo+yMqoh8pCxuB0XIMuxU96U5G39erodqanN9/ssqQYGF9DQkFj1AF7BqwYd\ndslbmzZE2NjzYWcWWrt2nP2kVSuyFwlqQeygUyd1i2g3cEve+vQh604iwLDjpAMEypsYbslbY2Ni\nBeJeKm9OEoxa8mb1/a1aJYBtsmVL2gjmzTNsVgI4P79LSkgwSKQ1A1gkb6edRgvs2GOFL3GalFYq\nb4kyKiCwTboAr+6tORqWuCEoQOyUt/R0IkO8h8xrAllQQN323Nia4mGbjDQrYSgvJ5Zu0ATCLtw2\nLamro8/Sw0sSQmmbbE7LJINbyxfb/BOlHsAreGWbtLvXSJK67s11QkWSgB9/9CQrk0jK25//DNx2\nmzfX4haBbdIYiaS8AYHypoTWNmlFeQPIST9woL3fZRem5A2IWicNxgQAzklKcTElKBONvFlyzKSl\n0dD0K64QvsQpqdUqb4lQ88bKlNzyAwZZToIh3Qy9elGwobQ2ejWkG6Cfk5HhfrOLFXkDxNmA5mg9\n79Y6GY+GJTrJ/cgjDeurnMAteYtlN0Wl8taczUoY3Aaefuw0CXjbsMTuXqMkSYlkoUsk5S2R4LVt\n0m/kLZGUNyCxyBuLD7wIOGNlmwSASZOEZVSewRJ5Y8O6m0l5YyXDibZXWRrzAwBnnGHob3Vqm0zE\nmreMDNo3TUmtRdTXk+nIStL+sCdvkqSve/NSeQPcjwtoaqIPJVYBUWEhP+vYXOTNTdOSeChvugd/\nyBDgxRc9/X1uyVssG3IcbsqbH+vdgPgpbwApb4lI3pQHtlv4ibx5rbwl0mfuBbwc1O0FeUukdZeR\nIXbn2IUTgtKlCyXbm5rs2SZjAUvkbdgwGhdQUdEsyltmJp0FibRmAIu2SQtw+jwplbdEsU0C3lon\n7Zzdhz15A9TWydpayih5eRC5HRfAPpBY2byGDwe++Ub/9eYIXtwO6q6ri33NWyyyNp07U9DZ2Ojs\n/YHyJoYfO00C8VfePLNNegjlge0WfiNvQc2bGIkwKgCgGsmcnMRpdMPgVcDpJJGWlUXn7+bN9myT\nsYAl8tamDW2Yu3dTgbgAbs7wkpLEO+O8Im9ulbemJtr7Wrd2fy1ewMuOk0lL3mQ5qrp5SZTcNi2J\npWUSAM49F/jkE/3XE1F5q62NfbfJWJC3Fi1oJqPTwDOWBCU/n4K3urpAeYsn4qm8KW2TdrpNNjcC\n2yQfgW3SGImivKWkAEuW0FmQSPCq7s3pOcWcKXZsk7GAJfIGUIa8Rw/DxlpuzvDi4sTbq7xU3pzc\nF1YKtWEDxRCx6AdgBV52nLQz5scX5K1bNyJua9d6b5kE3I8LiDV5O/54ul4tcWgu5e1wsE1mZ9Pn\nIMt0aKkaljQT3IwLiGWgKUlRq+3Gjc3fjjkgb3zEa1QAoLdNJkogX1xM96S21v3P8pNi2769d6QW\n8B95a9uW3ARuB7yHQvbnJmrR3PupE8RTeQPU5C2RnkntPFghzjrLcJQN4O6cSkTyZqlhiQU4VSQl\niZJ5CxcmjmUSCGyTriBJUfWtOcjb4aa8paXR3qJV35qDEDCCEgo5e3+sLFqpqeT1r62lBy0WD7+b\ncQGxJihFRcD8+WTXaG4yHZA3PnJzaa9warVl8JNtMiWFrGfs2tzAT41u+ven4c9eIZE+cy+QkUFx\nAKvldQqmQqf4IlKKwgurl5uRLYy8HZa2SYCacjz1lOFL3NomE22vstywxARuzu/SUiJvidBpkiGw\nTboEI29eznhjcNuwpKYm9g/i6NGxIW+5uUSEnNoDY6W8AdGNOVaditw0LYm1xauwEJg9u/nr3QD3\nGTw/BeFKpKSQNcRtLZMTFSVRu00C3o0L8JNtsl8/YOVKaoTlBfymvAHejAvw05pRwgurF7s3TkpU\nDnvbpAW4UfqvvhoYO9ab6/AKXtgmZdndMxUob1H4jrzt3ds85G3DBuetdWM1oFuJU08F5sxRN0Bo\nLhLpxjoZq4YlQNQScTiQt3gob3PmNH+9GxAob0bwYlC3E+WtdWvKpB88mHjkzau6Nz8F4tnZdC6t\nWOHNz/MjefNiXEA8zu5YwAu1wM0+nMi2SS/IGyMpTtfOgAGUoEkkeEHeamvdza9lylsikTcva96S\nkrx17kwKzpw53s14Y8jJoYXrNIsXa9skQNc8ahQwZUr0a80VvLiZ9RarhiVAtGnJ4UDe4qG8zZsX\nkLd4w4umJU72G+Wg7oC8HR4YMABYtMibn+VH8hYob2J4pbx5Qd78qLwxu61BP5PDDl7UvLk9uzt1\nooRMIpG3wDbpAUaNAj7+2HvlDXA3LiAe5A3QWyebk7y5Ud5iaZtkylssGpawA8qJYhsP5e3QodjZ\nJoNRAXx4MS7A6X7D7ImJRt4C2yQfAwZ4V/eWaJ+5F/BKefPTmmHwwurl5oxi5++uXf4kb35MMHpR\n8+b2eSotpX8nWs2bl8qb1SSa78hbZWXzkTendW/xqHkDgLPPBr7+OtqprbksIG5sk7EMGtjGHKuG\nJa1aETHdscP+e+OhvAGB8hZvxEt5A6IkKZFGBQCB8iaCV+QtFKLauUT6zL1AoLyJ4cWoADf7sCRF\nz5pEsqV6Rd78uG68sE26PbsZeUsk5S2wTXoA1rm1Ocibm3EB8VLeioqAI44AvvuO/j8RbZOxVN6y\ns2nz2LcvNsob4HxcQKybchQV0b8D8hZfxFN5Y+MCEmlUABAobyIw8ua0FpuBWde9nI2aCAiUNzHi\nrbwBdNbk5ibWulPOg3UDP55RXpA3t66Zjh3p34lE3gLbpAcoLaUNIdGUt3gWPSsHdjfXQdSlCwVX\nDQ323xtr5W3LFvp3rAY8Oh0XEGtrYFERzUaKhYUlIG9ixFt5S+SaN7ckxW+BePv2dE/cEhQ/1rsB\n3gzq9tuaYfBKeXNzb7p2TSzLJEAjJkIhZ7GMEn7siOxVzZub+5KVRbGKX22TSTekW4mHHgKOO877\nn+tmXEC8lDcgWvcWCjXfQZSRQbOYnNyfWNe8bdoU26yN06Ylsd78+/UDfv/72PwuL8ib3w5GBreD\nuhsbKfBw8kwlas1bfj5l593cF1mO7z7cHJAkb6yTifZ5e4WSksA2KYIXAafbBCNT3hIJkuSNddKP\nddms5s1NEs2LxOtFF5HbK1FQUEBuGbfJRSCJlTcAGDeOVDKvcTg2LAHItldYSF04m/Mgctq0JNa2\nyY0bY2eZBJyTt1hv/m3bAn/5S2x+F2sc09Tk7P1+V97c2CZZ5s6JFUlpm0y0YL5TJ3fWyUOHaJ/x\nU/c3wBvyFihvYviZvO3dS0ldp3C7D/foQcmqRIMX5M2PCcb0dPrn0CHnP8OL5+mZZ8h1kChIT6f9\n04sB5klN3poLZWUUPDgJOOPVsISBWScTkbzF2jYZKG/xR0oK/W1VVc7e78esJoNb26SbRFGi2iYB\n901L/BqEDxwYkDcRWrYkcuJ0nwH8u27S0ujviqd9/YQTgI8+cv7+5kKgvInhtu7Nr4lXr6yTAXlr\nBmRmkoK1ZYv998Z70Oe559IIheY8iLp3d9a0JNbK2+FC3vy6+TO4sU769QAA3DcscROI5+eT9SMU\nil1NqFW4bVri1yA8UN7EkCT36ptf1w3gvu7N7T7MPp9Eg1fKmx/PqIC88eFVx8mAvDUTnDYtiXet\nxaBB9NCsXp1YyltjIwWLsQoUc3Ioex9L8tauHR0EdomKn5U3ICBvIsRTeWODurOyEqsDHBAobyL0\n7k1nkhsrUyIqrV7B7bgAv64bwL1a4NczKrBNiuG2aYlfnyevOk4G5K2Z4HRcQLzJmyRR45K6uuZ7\ncLp2Bdats/ceprrFKlDMyaFAJZbkTZKoG6dd9S1Q3sTwM3lzq7y53WtKSxMzkC8tDcgbDxkZlDir\nqHD+M/yqvAHuxwX4dd0A7gNOv55RgW1SDLeDuv16dge2yQTH4aq8AUTegOY7iNq3p0PSTsedurrY\nBorsM4hlwxLAmXXSz0ED4Jy8ybJ/s5pAfJU3IHHJm9uGJX4NpgD31kk/kze3ylu869WbE26tXn4N\nxAPlTQy3tkm/7sNe2iat7sUBebMBp+MCEuEAGDkSOOec5iORWVn0N+7aZf09bDhsrMA+g1gPeHRC\n3vx6MDI4JW+1tdTdKdFqsrwCI29O2w77mbwFyhsfAXkTI1DexHCrvPn1jAqUNzG8qHnz4/MU2CYT\nHE7HBcS7YQlA9ppPPmneVtkdOgCbN1t/fSyblQDxI2+9e9uzNTU0UFfTjIzmu6Z4wyl582vAwNCi\nBXXjdFrD5Ja8deyYmOStQwcKwp2Ol/BzEO6WvAU1b2L4ed0EyhsfgfImhtuaN7+uGa9sk0k9pLs5\ncTjbJmMBu+Qt1kED+wxiTd6GDAHmzrX+epa1S7SmEV7CKXnza0ZTCTeDuv2qvGVm0gHpNBD3cxA+\nYADwyy/O1dpAeRPDz+vGC+XNj/cmUN7EcFvz5tfnKeg2meDo2JGCh4YGe+8LyBsfyaK89e1LIyas\nNqLw6wanRKC8ieFmULfbvWbYMODhh52/vznhZlyAXwNNACgqor9twwZn7/czeQtGBYjhNuD0K0EJ\nRgWIEYwK4COwTSY40tOpMYdd62RA3vhIloYlqanAUUcB8+ZZe71fNzglAvImhpumJW73mpwc4NRT\nnb+/OeGm7s3PQTjgzjrpZ/JWUhLYJkXwYlSAH/fiwDYpRkDe+Ai6TR4GOOooYP58e+/x8wGghBPb\nZKyVt7Q0Ig6xxjHHWLdOJsN6ceqd9+uhqISbcQF+ThS5GRfg92fKDXnzc81b27YUVDU2Onu/n9dN\nvId0JyoC26QYXnSb9OPz5IVtUpaDbpPNiiFDgDlzrL++qQmor/fv4ahE+/aJbZts0wbo1y8+tWR2\n1o1fD0UlAuVNDDfKm59VFDfjAvwaNDAEyhsfqam07+/Y4ez9fl43btQCP49sCZQ3MYKGJXx4YZus\nq6MmdVabCgbkzSbsNp9gB6Ofm08wJHrDklatgIULY/f7lGDKm5WmAn4OGBjMyNu99wLff6//ul83\nfyUC5Y2PwDYpRkDexHBa9ybL/l43bpS3ujpysaSne3tNiYBAeRMjaFjCBzuzQyHnP8Pu2e2KvEmS\n1FqSpK8lSVopSdJXkiTlC173iiRJ2yVJ+sXN70sEHH00sGiR9aYlfg6mtEj0hiXxRMeO1ALeSlOB\nZCAoRuRNloFJk4BLLwW2b1d/z6+HohLxrHlLZLhpWOLXoIGhe3ciKE4Cq2Qgb07q3urrac/2I0EB\naJ85cMDZ+A2/KktA0LDECG5sk35Wa9PT6e9yo0rasUwC7pW3+wB8K8tyTwDfAfij4HWTAJzm8ncl\nBFq2pJEBS5ZYe30iDOiOFQoL6eGsrbX2ej/XWmghSdZVW78HmoAxedu2jTJYV10FXHGFOpvl10NR\niXiOCkhkBMqbGGlpQJ8+1s8lJfy+DzsdF+D3NZOaSvuwk73Gz0k0t+TNz4qtG/JWW0skx6/JELdN\nS2KqvAEYDeD18H+/DuBc3otkWf4JgEMjUOLhmGOs1y8lwoDuWCElhbKcW7ZYe30yKW+A9aYlfs1O\nKWFE3hYvJhvY+PH0mieeiH4vGchbPEcFJDLatgX273c2wNyvwZQSTq2TgfLGRzKsGacBp5/3Ybfk\nrbbWXu3S4QQ3NW9+f57c1r3ZGdANuCdvbWVZ3g4AsixvA9DW5c87LGCn7s3PwRQPdqyTsR4VEG9Y\nbVri56wmgxF5W7SIAtH0dOC//wX++c/omIVkILaB8sZHSgrZj3/91f57/R44AMDAgQF54yFQ3sRw\nWvfmd/JWU+P8/X4+o9zUvPl5zQDWOk7+7nfivgueK2+SJH0jSdIvin+WhP99DuflFtoxHP4IyJsY\ndshbrEcFxBuDB9ODa9a22s+bPwM7BHgNXJjyBgDl5cBzzwHjxtHr/X4AAIHyZgSn4wKSIRAPlDc+\nnDYsSYY1EyhverhV3vycfHVjm/TzmgGsPUvffSdO4Ns9u9PMXiDL8imi74WbkBTLsrxdkqQSAA4b\n8qoxfvz4yH+PHDkSI0eO9OLHeoZ+/ajxxIED5jPD/B5MaWFXeUsm8pafT8FnRQVlyUWoriaFwc9I\nTydrCc8qsHgxcN990f+/4ALg22+BG24gK4qfDwAgaFhiBKfjApIhEO/fn/aWpiZ7lq1kqHkLbJN8\nOLV6+TnB6Ja8+fneZGVR8rmhwX7tmt+fJ7NnqaGBEo8rVvC/z87uH374AT/88IPp7zMlbyb4FMCV\nAP4B4AoAnxi8Vgr/YwoleUtEpKdT8P3zz8CJJxq/1u8LVgu7ypufgwYeWN2bEXnz8+avBFPflGTj\n0CFg/Xqgd2/1a598kpTLLVuAMWNie52xRjAqQAynTUv8nA1nyM8HioqAtWuBHj2svy9Q3vhIhrPb\n6XBhPz9PgfImhiTR33bwIJEVO0h25W3TJmq+tnIl//vs7NYKVhMmTOC+3m3N2z8AnCJJ0koAJwF4\nBAAkSWonSdJn7EWSJP0XwEwAPSRJ2ihJ0lUuf2/cYbVpid+DKS0C5c0YViy3q1dTcwa/g1f3tnQp\nBZ4ZGeqvZ2UBkycT4ffzAQAEypsRnI4LSIZAHHBmnfQ7eWPKm5UZm0okw5pxo7z5dR/OyqLYxOnM\nLj/fG8B8RqsIfn+ezBIh69ZRfGxG3qzCFXmTZXmPLMsny7LcU5blU2VZ3hf++lZZls9SvO4SWZbb\ny7KcKctyJ1mWJ7n5vYkAq3Vvfg+mtAgalhjDjPQvXAisWgWccUbsrile4B0Cyno3Lfr2pXs3alTz\nX1s8kZ9PAYCT4MHvgbgT5U2Wk2dky8CB0eY+VuH3NZOTQ26Z/fvtvc/vwSbgXHnzM0GRJHoenDYt\n8fu6cVr35uc1A5gnQtavJ6feli38cVqxHhWQtGCdA82yeclG3tq3DxqWGOGIIygDI9r8Hn0UuP32\n5LgvPPLGOk2KcMQR/p0Tw5CSQoec3WAT8P9+46RhSV0dzUHzY+tuLS68EHjjDeuzNgEib35Pojmp\ne/N7EA4EDUtEcGOd9Pu9CcgbH2bP0rp15Crq3JncVVrEekh30qK8nAo3zYiK34MpLTp0oMyCFYtK\nMtomMzKInMyfr//e+vXAV18B118f++uKB+wqb8kEp+MC/L7fsIYldixwyRCEM/TtS+rb229bf09t\nrb+VN8BZ3VsyrBs3owL8fG/ckjc/3xun5M3vz5MV22SXLkDPnnzrZKC8xQiSZG1ul98XrBZZWfT3\nWjkQkrFhCSC23D75JHDtteYdTP0CLXmTZeCXXwLyBjgbF9DQQJ0GtfWCfkJeHqlodu5Nsu3Bd9xB\ne4kVgivLyUPeAuVND6fKm5+bcgAURDslb36/N04HdSeD8mZmm+zcOSBvCQHWOdAIfs+E82C17i0Z\nlTeAT/p37QL+8x/g1lvjc03xgJa8bdhAwVJRUfyuKVHgRHljYxckSz19D1/YbVri90y4FqeeSiR+\n6lTz19bVkQ05xeeRgJNB3dXV/j+7gyHdfATKmxhOB3X7fc1YsU0aKW+8sUlG8PmW3byworwF5E2M\nZGxYAvBJ/3PPAeedRzWDyQIteQssk1EYKW9btvC/nix7jd2mJcmgoCghSVQ3++ST5q9Nhno3IFDe\nRAhq3vhwQ978rrwFtkk+CgrozOY1GjtwgPbatm2BXr34s94C5S2GGDyYapeamsSvSZaASgmr5C0Z\nG5YAlH05dCgahNfUAM8+C9x1V3yvK9YIyJsYonEBM2YAZWX8zGey7DV2m5b4PWjg4be/pTmkooGw\nDMlgmQScK29+Xzess21jo733JTt5q68Xk16/3xsn5E2WgcpKeq9fkZZG64Z3NjPLpCRFlTetrT0g\nbzFEQQFl9JYtE78mGawXWgS2SWOwekmmvr32GnDccZSRSSZovfNmnSaTCaJB3RMnUtfEn37Sfy9Z\nyBtrWmIVyRCEa5GVRY2PnnrK+HV+HxPAEDQs4SMlxVl9rd8Jihl5++AD4Jxz+N/z+7pxQt4eeYTK\nIs49t3muKVEgUrKZZRIgq3J6OrB9u/o1AXmLMczmvSXLfCEl7ChvyWDZ4YGtm8ZG4PHHgXvuifcV\nxR6B8iYGT3mbPx9YsgS4807ghx/070kW8mZFeaurI5XykUeAhx6i+5lsuOkm4J13jGuakoW8BaMC\nxHBS9+b3e2NG3jZupP1l1Sr99/xObO0O6X75ZeCll6iTtt/3YVHHSaa8MfDq3gLyFmOYNS1JloBK\niUB5Mwcb1v3hh5QVHjo03lcUeygPgQMHKLjq3j2+15Qo4DUsmTgRuPtu4LTTgO+/178nWfaaTp2A\nigrg00+B99+ntvivv04Bwl//SkPc27Sh5j/bt9M9e+65eF917FFSAoweDbzwgvg1yULe7CpvjY3U\n+ZZly/0MJ3VvficoZuRt61aynL7+uv57ydCwxKry9uGHtCd/9VVy1POLOk4qlTeAX/dm9/xOc3aJ\nARiGDAFeeUX8/WQJqJQIGpaYY/BgqknZtw944IF4X018oCRvS5bQjKq0YEcCoLcyVVQAM2dSR9LU\nVGD5chrinZ8ffY3dblWHK444gur+XnqJxiIo/2nbFrj3XkqGJMvIDSPccQdwxhlUT8sbIZEs7oc2\nbSjgtJownDKF1ljv3s1/bfGGWYtzHgLyBtx8M/DGG8Df/kZ7MkPQsITw/ffADTcAX36ZPElZI9vk\naadF/98L5S0IlVxi4ECSzkU2goC8iZGsDUsAoLCQWuLX1ABnnRXvq4kPlOQtsEyqoVXe/v53CsTZ\nXnLMMcD06eq1U1OTHCpKQQHwv//F+yoODwwYQFned9+lJiZaJIvylpJCxH77dlJuzfDii8B11zX/\ndSUCzIYL85Ds5G3LFrIlf/UVjeQ49dTo9/x+b6yQtwULgIsuAiZPBo46KjbXlQiwY5v88Uf1a+ye\n34Ft0iUyM4F+/Wix8uB3bzgPhYX0cNfWGr8umZU3ABgzBpgwwf8zlkQIyJsYSuVt9Wrg66+BG2+M\nfn/kSH3dWzImigKYw2hod7KQN8B63dvGjcCsWcDYsc1/TYkAu8pbKOR/MFCAKgAAE21JREFUld+K\n8ta+PXDlldRwTAm/x3xmQ7pXr6ak4gsvkIU9mcB7lkIh6rQZ1LwlIIyaliRjQJWSQgelaB4VQzIr\nbwDw6KPJEyDwoCRvQadJNZQNSx55BLjlFrUNcNQofd1bMu41AcxxxhmkBnz3nf57yUTerNa9vfoq\ncPHFyfMs2VXeVq0i14ifk45G5E2WKbZp147Wyeefq10SyaC8GTUs+dOfaM7kmDGxu6ZEAc82uW0b\nnd1KQt+1K/DrryRgMARDuuMA1nyCh2QNqDp0MCdvydywJECUvDU1UU1X//7xvqLEARsVsGED8PHH\nwO9/r/7+kCEURCmDhmTdawIYIyUF+Oc/gWuv1QddyVLzBlCwbTZioqmJativvTY215QIsNuw5LHH\n1C4AP8KIvB04QLXZublEfE85hWzJDH5X3sxsk4sXA2eeGbvrSSTwEiHaZiUAjQooKwPWrIl+LVDe\n4oAhQygLPnEiFbB+9x1Jx9XVyWsNNKt7k+WAvCU7WrSgrm7Ll1M9irL5RrKDKW8s6C4oUH8/IwM4\n9lhg2rTo1wLyFkCE0aOBk0+mDpxKJJPyNmYMzb0zsvN/+SXZ4ZLJBWBnVMDmzdRB8JZbmvea4g0j\n8rZ1KyUCGK66KmqdlOXk7jZZU0MJkh49YntNiQKebZJH3gC1dVKW7e/FAXnzAD16UE1BVRXVpkyY\nAJx+Om2KrVv7214gghl5q6+n7EMy3psABEki9W36dGr8EyCKrCzyyv/3v8Af/sB/zahR6rq3gLwF\nMMKTT1LHUqVKkEzk7Te/IVL28MPi1yRToxIGO8rbv/4FXHYZxTZ+hhF5Y5ZJhtNOo4YUK1dSQjo1\nlWIbvyI3l+5NKKT/3rJlFA/7+e83Au9Z0jYrYejVK0reWAmRnXg46DbpASSJ38krFFJ7WpMJZuQt\nWRXJAGow8pZMmW4rkCRS3y6+mFRJHkaOpHbVDDU1/g+qAjhHTg7w1ltkaTruOBp2nkzkDSDlbeBA\n4JJLKHhSYvNm2oveeis+1xYvWFXe9u6lekBRczY/wUx5U84sS0uj+O+112gkh5/r3QAip9nZJFZo\nx7FUVNAol2SFyDY5YoT+tT17Rp0zThKvge7RjEhJSa6DUQkz8pbszUoCEFq2DMibCJddRgOmRRg8\nGFi7NnpYBMpbADMMHkzNBC6/nOq7kqnmDaBz6f77af6Utvvmq69Se3O/B99aWFXenn+eiH9ZWfNf\nU7xhxzYJAFdcQSUz+/cnx/oRWSeXLKHu68kKnm1SpLwpbZMBeQuQMLCivAXkLUBeHnVdCsibHo89\nRs+RCOnppKC4yd4FSD7cey8Rt8cfTz7lDSC1uqqKgm0G1qgk2SyTgDXl7dAh4OmngXvuic01xRt2\nbJMAEZb27YFPPvF3vRuDEXlLZuWNzWdVWkrNat5kOSBvARIIVpS3ZMr4BuAjL48OgvLyeF/J4Qll\n3ZvfZy8F8AapqcCbb1JyYPbs5CNvqak0g+ree4Fdu+hr33xD7e+PPDK+1xYPtGxJ53F9vfg1r71G\nqm2yqCp2bJMMV10FPPtsoLwlM3ljXUhZV9/aWmDnTqBjR/1rCwvJnbdzp/0B3UBA3gI0E9ioAN5g\nWCBQ3gIQ8vJoREDQuMYZRo6MzntzcgAESE6UlVHziZ9+Ss41M2gQWSSZkvTii8k1HkAJSTK2TjY2\nEtG/777YXlc8YVd5A4Bx46jTYjIob8oZrQy7dlECsbQ0PteUKFBaJzdsoPuRmqp/nSRF1bdAeQuQ\nMMjKosUosmMEDUsCAHQIBJ0mnWPQIKCykp6zwDYZwA4uuYQaLPTtG+8riQ8efJAUt8mTKQFy8cXx\nvqL44YQTiHxUVuq/98EHRFaOPz7mlxU35OTQfspLPvNq3gAK2kePTl7lraKClFlJis81JQqUiRCR\nZZKhZ09gxQpnrpmAvAVoNhhZJ4OGJQEA4IwzgLFj430Vhy/S0ymo+vHHgLwFsI9HH6W6yWREXh51\nn7zkEuDCCykgTVZMnkzNSAYPBiZNipIWWQYeeSS5VDcg2u6f1y1cZJsEgDvuAE48sXmvLRHAI2/J\nbplkUJI3UbMShkB5C5CQaN+eLAY8BLbJAABw7rnA8OHxvorDGyNHUt1bQN4CBLCHMWNojuLtt8f7\nSuKL1FTqbDt1Ktlpx4wBduwgZbKhgZJsyQaedfLgQWpGISL6xx1HBM7vEJG3ZKmJNIKyAZCZ8sZm\nvQXkLUBCwUx5C2yTAQK4x6hRZPsKyFuAAPYgSaQ+9ukT7ytJDPTvD8ydS/djwAAitvfem5w1yTzy\nxlS3ZLcG5uUFypsIdm2TAXkLkHAwIm+B8hYggDc48kgqlN+2LSBvAQIEcIfMTODhh4H336e9Zdy4\neF9RfMAjb6JmJcmGli3VDUtCIWDp0oC8AfZsk127Ahs30niBgLwFSBgYkbdffgHato3t9QQI4Eek\npQHDhgWjAgIECOAdjj+eRkqkp8f7SuIDkfIWkDe9bXLjRlLjWreO3zUlCphtUpbNlbeMDOpGuWRJ\nQN4CJBBE5G3jRuCZZ5KvCDpAgObCyJH074C8BQgQIIB7GNkmkx1a8hZYJqNgytvevfT/ZoS2Vy9g\n4cKAvAVIIIjI2113AbfcYpyRCBAggHX8f3t3H2NZedcB/Pvb3ULL7ELZF3YpWAhRlpcUwUSqqTVL\nlRSVComh1UpiY9ISJLUJ/iFN0GKjoSSNjWnTkLTGUhMQQqhUjVLe1qSlaSEsCpXyslL7D6wSWhug\nuCCPf9wz7t1hZmdn7sy99+x8PsnNnDn33Ht+Z/NwL995nvM8F1ww6IFbq38lB1hJhk0ubL7wZrKS\ngdnwNtvrttj9kTt3DoacCm9MjfnC2733Jg8+OLgJGlgZ556bfO5zk64C4Mhg2OTC5i7SreftgC1b\nDg5vi9m5M3nttcHayEshvLFqtm0b/Ac+u1bK/v3JRz+afOYzS2+owMLWr0+uuGLSVQAcGY45xrDJ\nhRg2ubDNmwf3vC02WcmsM84Y/NTzxtRYty7ZsePAWm+f/WxyyinJJZdMti4AgIUYNrmw4fC2f3+y\nd29y5pmTrWlazB02uZidOwc/lxreNiy9NDh8s0Mn3/zm5PrrkwcesEYKADC9TFiysOHw9sQTyamn\nWrd31vHHD6b+37s3ufTSxY/fti1561uFN6bMbHi78cbkwx9OTj990hUBACxsbnh76aVBL9Nxx02u\npmkxvEi3IZMH27Ah2bgxeeSRw+t5q0rOOmvwb7qk8yyvPDg8b3tbcuutyUMPJY8/PulqAAAObWYm\n2bfvwO+zk5UYOXRgke7WzDQ5n82bk+99b3Cb0OG4445k69alncM9b6yqk05KvvKV5NOfHnwYAgBM\ns7k9b4ZMHnDUUYNJsl55Rc/bfLZsGbSVwx1Kun374N9zKfS8sarOOSd53/uSyy6bdCUAAIubG95M\nVnKw2fveHntMeJtr8+bVn1FdeGNVXXTR4AEA0Afz9bwJbwds2jSYz+D55w/v3q61ZPPmQe/kahLe\nAACgM1/Pm2GTBxx7bPLNbw4m21jnBqyDbN269HvYlkp4AwCAznw9b2efPbl6ps2mTYOlnwyZfKNr\nrln9pRPkZQAA6Jiw5NBmw5uZJt/opJMGk5asJuENAAA6Jiw5tE2bkmee0fM2KcIbAAB0TFhyaLOL\nSgtvkyG8AQBAZzi8/fjHg8fmzZOtaZps2pRs2zZYo4zxE94AAKAzHN6efTbZsSOpmmxN02TTJr1u\nkyS8AQBA56ijktdfT1591ZDJ+Zx8cvLOd066irXLUgEAANCpOtD7Zo23N/rIRyZdwdo2Us9bVR1f\nVV+rqieq6q6qOm6eY06uqvuq6jtV9WhV/f4o5wQAgNU0G970vDFtRh02eU2Se1prO5Pcl+Tj8xzz\nWpKrW2tnJ/n5JFdV1RkjnhcAAFbFzEzy8svCG9Nn1PB2SZKbuu2bklw694DW2nOttUe67ReTPJ7k\npBHPCwAAq8KwSabVqOHthNbavmQQ0pKccKiDq+rUJOcm+daI5wUAgFVh2CTTatEJS6rq7iTDKzlU\nkpbk2nkOb4d4n41Jbk/ysa4HDgAApo6eN6bVouGttXbhQs9V1b6q2t5a21dVO5L85wLHbcgguP11\na+3Oxc553XXX/f/2rl27smvXrsVeAgAAK0LPG+O2e/fu7N69e9HjqrUFO8sWf3HVDUleaK3dUFV/\nmOT41to18xz35STPt9auPoz3bKPUBAAAo7j88uSCC5Irr0xeeSVZZ2Vkxqyq0lp7w/LwozbFG5Jc\nWFVPJPmlJJ/qTnZiVf19t/2uJL+d5D1VtaeqHq6qi0Y8LwAArIqZmWTv3mTHDsGN6TLSIt2ttReS\n/PI8+59NcnG3/Y0k60c5DwAAjMvMTPL004ZMMn38LQEAAIbMzCRPPSW8MX2ENwAAGDLb82amSaaN\n8AYAAEOOOSZ58UU9b0wf4Q0AAIbMzAx+6nlj2ghvAAAwZDa86Xlj2ghvAAAwRHhjWglvAAAwxLBJ\nppXwBgAAQ2ZmkvXrk23bJl0JHEx4AwCAIRs3Jtu3J+v8nzJTRpMEAIAhZ5yR3HLLpKuAN6rW2qRr\nOEhVtWmrCQAAYFyqKq21mrtfzxsAAEAPCG8AAAA9ILwBAAD0gPAGAADQA8IbAABADwhvAAAAPSC8\nAQAA9IDwBgAA0APCGwAAQA8IbwAAAD0gvAEAAPSA8AYAANADwhsAAEAPCG8AAAA9ILwBAAD0gPAG\nAADQA8IbAABADwhvAAAAPSC8AQAA9IDwBgAA0APCGwAAQA8IbwAAAD0gvAEAAPSA8AYAANADwhsA\nAEAPCG8AAAA9ILwBAAD0gPAGAADQA8IbAABADwhvAAAAPSC8AQAA9IDwBgAA0APCGwAAQA8IbwAA\nAD0gvAEAAPSA8AYAANADI4W3qjq+qr5WVU9U1V1Vddw8xxxdVd+qqj1V9WhVfWKUcwIAAKxFo/a8\nXZPkntbaziT3Jfn43ANaa/+T5ILW2nlJzk3yK1V1/ojnZQ3avXv3pEugh7QblkqbYTm0G5ZKm2E5\nRg1vlyS5qdu+Kcml8x3UWnu52zw6yYYkbcTzsgb5kGM5tBuWSpthObQblkqbYTlGDW8ntNb2JUlr\n7bkkJ8x3UFWtq6o9SZ5Lcndr7cERzwsAALCmbFjsgKq6O8n24V0Z9JxdO8/h8/aotdZeT3JeVR2b\n5G+r6qzW2r8to14AAIA1qVpb/gjGqno8ya7W2r6q2pHk/tbamYu85o+SvNRa+/MFnjekEgAAWNNa\nazV336I9b4v4apIPJbkhye8kuXPuAVW1NcmrrbX/rqq3JLkwyaeWUiQAAMBaN2rP2+YktyX5iST/\nkeT9rbUfVtWJSb7QWru4qt6RwWQm67rHra21Pxu9dAAAgLVjpPAGAADAeIw62yQsW1X9ZVXtq6p/\nHdp3TlU9UFX/UlV3VtXGbv8pVfVyVT3cPT4/9Jo/rarvV9WPJnEdjNcKtpt/rKo9VfVoVX2+qgzZ\nPkKtYJu5v6q+27Wbh7vbAjhCrUS7qaqNQ+1lT1X9V1XNe88//beCnzUf6I5/tKqun8S1ML30vDEx\nVfULSV5M8uXW2jndvm8nubq19vWq+lCS01prf1xVpyT5u9nj5rzP+RkM232qtXbs+K6ASVjBdrOx\ntfZit317kttaa7eN7UIYmxVsM/d3r9kzxvKZkJVqN3Pe86EkH2utfWOVy2cCVqLNdLck7UlyXmvt\nhar6q+797h/rxTC19LwxMa21ryf5wZzdP9XtT5J7kvzG0HPz9oy01r49u94gR74VbDezwe1NSY7K\nAkud0H8r1WY6vjfXiBVuN6mq05NsE9yOXCvUZk5L8mRr7YXu93vnvIY1zpcQ0+Y7VfXr3fb7k5w8\n9Nyp3dCC+7u/bsGsZbWbqvqnJM8l+VGS28dTKlNiuZ81X+qem2+tU458o3xHfSDJrateIdNmqW3m\n6SQ7q+rtVbUhyaUZTAwISYQ3ps/vJrmqqh5MMpNkf7f/2SRvb639TJI/SHLz7LhxyDLbTWvtoiQn\nJjk6yXvGWzITtpw288HW2juSvDvJu6vq8nEXzcSN8h31m0luGVulTIsltZnW2g+TXJnBbO7/nOSZ\nJP87/rKZVsIbU6W19mRr7b2ttZ9N8jdJ9nb797fWftBtP9ztP31ylTJNRmk3rbX9GaxZecl4q2aS\nltNmWmvPdj9fSnJzkvMnUTuTs9zPmqo6J8l690uuPcv8rPmH1trPtdbeleTJ7gFJhDcmrzI05ruq\ntnU/1yW5NsmN3e9bu32pqtOS/GSSf5/nvVgbRmo3VTVTVTu6/RuS/FqS7471Chi3UdvM+qra0u1/\nU5KLkzw21itgElbqO+q3otdtrRi5zQy95vgkv5fki2Osnym3YdIFsHZV1c1JdiXZUlXfT/KJJJuq\n6qoMJo+4o7X2pe7wX0zyyaran+T1JFd0QwtSVTck+WCSt3Tv88XW2ifHejGMzUq0m6o6IclXq+qo\nDP6IdX+6L1SOPCvUZo5JclcX9tdnMPHAF8Z7JYzTSn1HdS5L8qvjqp3JWME28xdV9dPda/6ktfb0\nGC+DKWepAAAAgB4wbBIAAKAHhDcAAIAeEN4AAAB6QHgDAADoAeENAACgB4Q3AACAHhDeAAAAekB4\nAwAA6IH/A2HZv2GxPaY8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e18e890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#MA model:\n",
    "model = ARIMA(ts_log, order=(2, 1, 0))  \n",
    "results_AR = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_AR.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_AR.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MA Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1106b3e50>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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qFZ0vfivbFmLaZFDxplKZV6/2P89ZfS4zZpDbuXevv+cNQtjizY/zNjxM86Rx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P9+YNGnT6d9VF1sxGahcfZyU6xYgcqdK90pbyaWSdZszO4ZNW0abbujRbF5ZgMDQMZ+cb0bQK8f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\noAEQvAEAAABAAyB4AwAAAIAG8H8fzJG+foUqywAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c4befd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ARIMA(ts_log, order=(0, 1, 2))  \n",
    "results_MA = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_MA.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_MA.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ARIMA Model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x11077b550>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jtBvO4i2Z2lpaYG7f7uz57Lwl8N57wMknAx07Jom3mJt93nk0MdqIH9u0Cdhr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+vqPP+ZOxf45jeJZHzrW75e+7o6apZ7992y76N3QWUUttgmAcXESbPkLZC2SUsDSwSUlZFitmmT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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e111b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ARIMA(ts_log, order=(2, 1, 2))  \n",
    "results_ARIMA = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_ARIMA.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_ARIMA.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convert to original scale:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Month\n",
      "1949-02-01    0.009580\n",
      "1949-03-01    0.017491\n",
      "1949-04-01    0.027670\n",
      "1949-05-01   -0.004521\n",
      "1949-06-01   -0.023889\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predictions_ARIMA_diff = pd.Series(results_ARIMA.fittedvalues, copy=True)\n",
    "print predictions_ARIMA_diff.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Month\n",
      "1949-02-01    0.009580\n",
      "1949-03-01    0.027071\n",
      "1949-04-01    0.054742\n",
      "1949-05-01    0.050221\n",
      "1949-06-01    0.026331\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predictions_ARIMA_diff_cumsum = predictions_ARIMA_diff.cumsum()\n",
    "print predictions_ARIMA_diff_cumsum.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    4.718499\n",
       "1949-02-01    4.728079\n",
       "1949-03-01    4.745570\n",
       "1949-04-01    4.773241\n",
       "1949-05-01    4.768720\n",
       "dtype: float64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictions_ARIMA_log = pd.Series(ts_log.ix[0], index=ts_log.index)\n",
    "predictions_ARIMA_log = predictions_ARIMA_log.add(predictions_ARIMA_diff_cumsum,fill_value=0)\n",
    "predictions_ARIMA_log.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1106756d0>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3F+R0t6Jnv4o8PTzRx7cP5kXPU3VcJmdERERkqJUrgd69xWHJ1mrXTqycOdtq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SQuOhs3Qr16CVuRiUm6dJAvHxw/rv7Yn/K768fzkLe0rVDe5HvTplW6Xc6cqSSq5ippjDKswjB8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\n/2u0owXPKdWgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11076f650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ts_log)\n",
    "plt.plot(predictions_ARIMA_log)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x110a6a550>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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EREREfOUlo1YSArVQyx7hVOfHaFCgJiIiIiKS5A4dcv/Vr1/4PY0aJX/pY2Zm0cFqcVJT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3JlyEWDwg1oVqyZXs4IgRgi/fq1SBIT6uMQHAyjR0Phwt+OGTj79Czt7TqTav8eXLc00WjrZ0ri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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110823290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions_ARIMA = np.exp(predictions_ARIMA_log)\n",
    "plt.plot(ts)\n",
    "plt.plot(predictions_ARIMA)\n",
    "plt.title('RMSE: %.4f'% np.sqrt(sum((predictions_ARIMA-ts)**2)/len(ts)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
